If f(x) = 1 - rand g(x) = V find a formula for (gof)(x). Give the...
Find (fog)(x) and (gof)(x) and the domain of each f(x) = x²-6, g(x) = 2x - 4 (fog)(x) = _______ (Simplify your answer) (gof)(x) = _______ (Simplify your answer.) The domain of (fog)(x) is _______ (Type your answer in interval notation.) The domain of (gof)(x) is _______ (Type your answer in interval notation.)
Given f (x) = 4x + 3 and g(x) = 2x2 + 5, find (gof)(x)and the domain of go f. UTAL Cditor
For f(x)=x2 +2 and g(x)=x2-3, find the following functions. a. (fog)(x); b. (gof)(x); C. (fog)(3); d. (gof)(3) a. (fog)(x)=0 (Simplify your answer.) b. (gof)(x)=0 (Simplify your answer.) c. (fog)(3)=0 d. (gof)(3)=
need help with all of these thank you 1. Find the inverse function of f(x) = -2 a) f-'(x) = 2+2 b) f-'(x) = 2x+1 c) f-'(x) = x - 2 d) f-'(x) = 42 2. Combine 2log x - logy into a single logarithm. log 2. a) log b) Home and logy d) log 3. Find the following: log, 27 a) 3 b) If f(x) is a graph of a polynomial that has only x-intercepts of even multiplicity and...
Find fog(x), gof(x), and g-1 (x) where f(x) = 2x2 and g(x) = x+3 are functions from R to R.
Find the domain of each composite function fog , gof if f(x) =3x+1, g(x)=x2
9. (4pts) Consider the linear functions f(x) 6-x+3(x-4) and g (x)-3(x+)-5(+1). Solve f(x) g() algebraically, showing all steps. (You may also check graphically) 10. 4pts) Test algebraically whether the function f(x)-4x- is even, odd, or neither even nor odd. Show your work. (You may also check your results graphically.) 11. (4pts) Determine whether the graph of y =-x' + 4x is symmetric with respect to the x-axis, the y-axis, and/or the origin. Use your graphing calculator make a sketch below...
For f(x) = VX+6 and g(x) = 9x + 2, find the composite function gof. (gof)(x) = Enter your answer in the answer box
Consider the following functions. f(x)=1/x and g(x)= x^3 Find the formula for (f∘g)(x) and simplify your answer. Then find the domain for (f∘g)(x) . Round your answer to two decimal places, if necessary. Also, Find the formula for (g∘f)(x) and simplify your answer. Then find the domain for (g∘f)(x) . Round your answer to two decimal places, if ny.
Please solve for part (b) and (c) thank you! 1. Consider the function f(x) = e-x defined on the interval 0 < x < 1. (a) Give an odd and an even extension of this function onto the interval -1 < x < 1. Your answer can be in the form of an expression, or as a clearly labelled graph. [2 marks] (b) Obtain the Fourier sine and cosine representation for the functions found above. Hint: use integration by parts....