2 For f(x) x 5 and g(x)= 7- x, find b. the domain of f og (fo g)(x); а.

Q: The function f is defined by f(x) = 2x +1. Find f(5x). f(5x) = 0

A: We can find f(5x) as below.

Q: 8. Given: f(x) = x - 2 and g(x) = 2x + 3 Find: a. (f + g)(x) b. (f - g)(x) c. (f · g)(x) d. (fo…

A:

Q: Let f(x) = 3x - 1 and g(x) = x? + 2. Find (fo g)(7). (fo g)(7) =

A:

Q: Define f (x) = 4+x – x² and g(x) = 5x 3. - Find the value of (go f)(3). o f)(3).

A:

Q: Use the functions f(x) = 2x² a. (fᵒg)(3) b. (hj)(12) c. (gᵒh)(x) d. (hᵒg)(x) e. (gᵒf)(x) to…

A: "As per policy the first three subparts have been solved, please repost the question mentioning the…

Q: If f(x) = x2 – 6x and g(x) = 6 – x³, evaluate the following. %3D a. (f+ g)(- 2) b. (g - )(- 4) c. (f…

A: The given functions are f(x)=x2-6x  &  g(x)=6-x3

Q: 2. Determine fx(x); x² + 1 f (x) = 3x

A:

Q: Find the points of inflection of the function f(x)=x3−3x2−1.

A: Given

Q: Find the domain of the function f(x) = √x + √(1 − x)

A:

Q: Let f(x) = x² - 3 and g(x) = 5x + 1. Find the value. (g. f)(-4) (gof)(-4)=

A: given,  f(x)=x2-3  and  g(x)=5x+1we know  (g∘f)(x)=g(f(x))

Q: Evaluate the function f(x) = 4x + 5 at the given values of the independent variable a. f(6) b. f(x +…

A: Plug x=6 in f(x)

Q: Evaluate f′′(−2)

A:

Q: Find the domain of f

A: We have to find the domain of the function: fx=8-3x We know that for any square root function y=fx…