For the given functions f(x) = − 9x², g(x) (1) (fog)(x) = (2) (gof)(x) = (3) (ƒ ○ ƒ)(x) = (4) (gog)(x) = = 2x+4, find the following:

Q: For ​f(x)=x+4 and g(x)=5x+5​, find the following functions. a. (f◦g)(x)​; b. (g◦f)(x)​; c.…

A:

Q: If ​f(x)= 2x2 −5x+3​, find f′(3).

A: To find f'(3)

Q: or the function f(x) = x² − 6x³ + 1, find the points of inflection.

A:

Q: Next For f(x) = x- 3 and g(x) = 5x2 - 3, find the following functions. a. (fo g)(x); b. (go f)(x);…

A:

Q: If f(x) = 6 − 8x, find f −1(−18).

A: Please refer the attached image for complete solution.

Q: For the function f(x) = x2 + 3? and ℎ ≠ 0, evaluate (f(a + ℎ) − f(a))/h

A: f(x) = x2 + 3

Q: For ​f(x)=2x−5 and ​g(x)=x2−2​, find the following functions. a. (f◦g)(x)​; b. (g◦f)(x)​; c.…

A:

Q: For the given functions f(x) (1) (fog)(x) = (2) (gof)(x) = (3) (ƒ ○ f)(x) = (4) (gog)(x) = = 8x + 5,…

A: Let's find all given function.

Q: This is the final answer to the problem: (a) f (g(x))= + Domain: + (b) g(f (x)) = + Domain:

A: Topic = Functions The domain of a function is the complete set of possible values of the independent…