Let g(x) =3x + 5 and f(x) = x2 + 2x – 7 . Find f(g(x)).
If F(x) = f(g(x)), where f(−4) = 3, f '(−4) = 7, f '(3) = 4, g(3) = −4,and g'(3) = 7, find F '(3). F '(3) = F '(3) = F '(3) =
Let f(x)=7x-8/3 and g(x)=3x+8/7. Find (f o g)(x) and (g o f)(x).
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)
find f(x) and g(x) such that h(x)-(f ° g) (x) for h(x)-V2x2 +7 Test algebraically whether 2ya_ 5x2 + 12 has x-axis, y-axis or origi et f(x) vx and g(x) 2 3x. a. Find((xand determine its domain b. Find (fo g)(x) and determine its domain.
Let f(z Find the following functions. Simplify your answers. f(g(x)) = g(f(x)) = an r-5 Preview Preview
Consider the functions fix)#2x + 7 and g(x)-2(x-7) (a) Find f(g/x)). (b) Find g(fx)) of each other O B. No values should be excluded from the domain (b) What is gtt(x)? Give any values of x that need to be excluded from g/f(x). Select the correct choice below and fil in any answer boxes within your choice (Use a comma to separate answers as needed) O B. No values should be excluded from the domair (c) Are the functions f...
Let f(x) = 5x2 - 4x and g(x)= x2 - x+7. Find (f+g)(x), (f – 9)(x), (fg)(x), and a (x). Give the domain of each. (f+g)(x)= (Simplify your answer.) (f-g)(x)= (Simplify your answer.) (fg)(x)= (Simplify your answer.) H)(x) = (Simplify your answer.) The domain of (f+g)(x) is (Type your answer in interval notation.) The domain of (f -9)(x) is (Type your answer in interval notation.) The domain of (fg)(x) is (Type your answer in interval notation.) The domain of “x)...
(7) Find the distribution of the so-called "extreme value" density function f(x) = exp(-r-e-r) for x R. (7) Find the distribution of the so-called "extreme value" density function f(x) = exp(-r-e-r) for x R.
Problem 5. Let f and g be R + R defined as f(x) = 2x +1 and g(x) = x3 – 2x + 1 Find go f and determine if it is bijective. If it is bijective find its inverse. (20 pts)