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(1 point) Your friend Bailey says that the functions f(x) and g(x) given below are inverses...
1) Find the following for the functions f(x) = x+2 and g(x) = Vx – 5...
1) Find the following for the functions f(x) = x+2 and g(x) = Vx – 5 if defined. If the composition is not defined write “The value is not in the domain”. a) (fºg)(14) b) (gºf)(2)= c) (gºg)(30) =
7x + 4 3x - 4 Consider the functions f(x) = and g(x) = x+3 7-X...
7x + 4 3x - 4 Consider the functions f(x) = and g(x) = x+3 7-X (a) Find f(g(x)) (b) Find g(f(x)) (C) Determine whether the functions f and g are inverses of each other. ary (a) What is f(g(x))? f(g(x)) = (Simplify your answer.) Give any values of that need to be excluded from f(g(x)). Select the correct choice below and fill in any a ols > ОА. XF (Use a comma to separate answers as needed.) O B....
For f(x) = Vx and g(x) = x + 7, find the following functions. a. (f...
For f(x) = Vx and g(x) = x + 7, find the following functions. a. (f o g)(x), b. (g o f)(x), c. (f o g)(2), d. (g o f(2) a. (fo g)(x) = L」 (Simplify your answer.) b. (gof)(x)=[-] (Simplify your answer) C. (fog)(2)-O (Simplify your answer) d. (g o f(2)- (Simplify your answer)
For the given functions f and g, complete parts (a)-(h). For parts (a)-(d), also find the...
For the given functions f and g, complete parts (a)-(h). For parts (a)-(d), also find the domain. 3x +7 f(x) = 7x-3 9(x) = 6x 7x-3 (a) Find (f+g)(x). (*+g)(x)=(Simplify your answer.) What is the domain off+g? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The domain is {x}. (Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.) O B....
Use the functions f(x)-X-1 and g(x)=x + 19 to answer parts (a)-(g) (a) Solve f(x)-0 b)...
Use the functions f(x)-X-1 and g(x)=x + 19 to answer parts (a)-(g) (a) Solve f(x)-0 b) Solve g(x)-0 c) Solve f(x)-gx) (d) Solve f(x)>0 (e) Solve gix)s0 (f) Solve f(x) > g(x). (g) Solve f(x)21 (a) The solution tox)0sx Type an integer or a fraction. Use a comma to separate answers as needed.) (b) The solution to g(x)-0isx Type an integer or a fraction. Use a comma to separate answers as needed.) (c) The solution to f(x),(x) is x:0. Type...
please help!! If the graphs of two differentiable functions f(x) and g(x) start at the same point in the plane and the f...
please help!!
If the graphs of two differentiable functions f(x) and g(x) start at the same point in the plane and the functions have the same rate of change at every point, do the graphs have to be identical? Give reasons for your answer A corollary of the Mean Value Theorem states that if f7x): g7x) at each point x in an open interval (a,b), then there exists a constant C such that f(x)= g(x)-C for all Xe(a,b). That is,...
1. (20 points) Find derivatives of the following functions. (a) f(x) = 1012 (b) g(x) =...
1. (20 points) Find derivatives of the following functions. (a) f(x) = 1012 (b) g(x) = (ln(x2 + 3)] (c) h(x) = Vx+V2 (d) y=et +e? – x-e
20 Given f(x)= |x) and g(x)- , find the following expressions. (a) (f og)(4) (b) (g...
20 Given f(x)= |x) and g(x)- , find the following expressions. (a) (f og)(4) (b) (g of)(2) (c) (of) (d) (g o g)(0) (a) (f o g)( 4(Type an integer or a simplified fraction.)
(1 point) Suppose that f(x) = V22 - 42 and g(x) = V4-x. For each function...
(1 point) Suppose that f(x) = V22 - 42 and g(x) = V4-x. For each function h given below, find a formula for h(x) and the domain of h. Use interval notation for entering each domain (A) h(x) = (fºg)(x). h(x) = sqrt(-x-12) Domain = (-Inf, -12] (B) h(x) = (gºf)(x). h(x) = sqrt(4-sqrt(x^2-16)) Domain = [4. sart32] (C) h(x) = ( ff)(x). h(x) = sqrt(x^2-32) Domain = (sqrt32, Inf) (D) h(x) = (8.g)(x). h(x) = sqrt(4-sqrt(9-x)) Domain = (-Inf,...
(1 point) The figures below show the graphs of the exponential functions f(x) and g(x), and...
(1 point) The figures below show the graphs of the exponential functions f(x) and g(x), and the linear function, h(x). The function f(x) has y-intercept 0.75 and goes through the point (1,6). The function g(x) has y-intercept 6 and goes through the point (2,6/49). The function h(x) has y-intercept 5 and goes through the point (a, a + 5). y = f(x) y = g(x) y = h(x) (Click on a graph to enlarge it.) help (formulas) (a) Find a...
1) Find the following for the functions f(x) = x+2 and g(x) = Vx – 5 if defined. If the composition is not defined write “The value is not in the domain”. a) (fºg)(14) b) (gºf)(2)= c) (gºg)(30) =
7x + 4 3x - 4 Consider the functions f(x) = and g(x) = x+3 7-X (a) Find f(g(x)) (b) Find g(f(x)) (C) Determine whether the functions f and g are inverses of each other. ary (a) What is f(g(x))? f(g(x)) = (Simplify your answer.) Give any values of that need to be excluded from f(g(x)). Select the correct choice below and fill in any a ols > ОА. XF (Use a comma to separate answers as needed.) O B....
For f(x) = Vx and g(x) = x + 7, find the following functions. a. (f o g)(x), b. (g o f)(x), c. (f o g)(2), d. (g o f(2) a. (fo g)(x) = L」 (Simplify your answer.) b. (gof)(x)=[-] (Simplify your answer) C. (fog)(2)-O (Simplify your answer) d. (g o f(2)- (Simplify your answer)
For the given functions f and g, complete parts (a)-(h). For parts (a)-(d), also find the domain. 3x +7 f(x) = 7x-3 9(x) = 6x 7x-3 (a) Find (f+g)(x). (*+g)(x)=(Simplify your answer.) What is the domain off+g? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The domain is {x}. (Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.) O B....
Use the functions f(x)-X-1 and g(x)=x + 19 to answer parts (a)-(g) (a) Solve f(x)-0 b) Solve g(x)-0 c) Solve f(x)-gx) (d) Solve f(x)>0 (e) Solve gix)s0 (f) Solve f(x) > g(x). (g) Solve f(x)21 (a) The solution tox)0sx Type an integer or a fraction. Use a comma to separate answers as needed.) (b) The solution to g(x)-0isx Type an integer or a fraction. Use a comma to separate answers as needed.) (c) The solution to f(x),(x) is x:0. Type...
please help!!
If the graphs of two differentiable functions f(x) and g(x) start at the same point in the plane and the functions have the same rate of change at every point, do the graphs have to be identical? Give reasons for your answer A corollary of the Mean Value Theorem states that if f7x): g7x) at each point x in an open interval (a,b), then there exists a constant C such that f(x)= g(x)-C for all Xe(a,b). That is,...
1. (20 points) Find derivatives of the following functions. (a) f(x) = 1012 (b) g(x) = (ln(x2 + 3)] (c) h(x) = Vx+V2 (d) y=et +e? – x-e
20 Given f(x)= |x) and g(x)- , find the following expressions. (a) (f og)(4) (b) (g of)(2) (c) (of) (d) (g o g)(0) (a) (f o g)( 4(Type an integer or a simplified fraction.)
(1 point) Suppose that f(x) = V22 - 42 and g(x) = V4-x. For each function h given below, find a formula for h(x) and the domain of h. Use interval notation for entering each domain (A) h(x) = (fºg)(x). h(x) = sqrt(-x-12) Domain = (-Inf, -12] (B) h(x) = (gºf)(x). h(x) = sqrt(4-sqrt(x^2-16)) Domain = [4. sart32] (C) h(x) = ( ff)(x). h(x) = sqrt(x^2-32) Domain = (sqrt32, Inf) (D) h(x) = (8.g)(x). h(x) = sqrt(4-sqrt(9-x)) Domain = (-Inf,...
(1 point) The figures below show the graphs of the exponential functions f(x) and g(x), and the linear function, h(x). The function f(x) has y-intercept 0.75 and goes through the point (1,6). The function g(x) has y-intercept 6 and goes through the point (2,6/49). The function h(x) has y-intercept 5 and goes through the point (a, a + 5). y = f(x) y = g(x) y = h(x) (Click on a graph to enlarge it.) help (formulas) (a) Find a...
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