3. For each of the following functions, find f and g so that h(x) = f(g(x)). a. h(x) = /x + 2 1 b. h(x) = x2+1

Q: 3. If f(x) = x + 1, find f(3) and f(- 3). Is f a one-to-one function?

A: The given function is fx=x2+1

Q: Consider the following functions. f(x) = x, g(x) - Vx- 6 Find (fo g)(x). Find the domain of (fo…

A: Given functions are fx=x2 and gx=x-6. To find: fogx and the domain of fogx. Solution: Finding fogx.…

Q: Evaluate  f(−7), f(0), and f(3)  for the piecewise defined function. f(x) =    x + 2     if x < 0…

A:

Q: Find f'(x) for the following function: 6 + 4 x + 1 f(x) f- (x) = |

A:

Q: Is the function f(x) = 1 the same as the function g(x) = xx

A: Given: Is the function f(x) = 1 the same as the function g(x) = xx

Q: For f (x) = x² + 6 and g(x) = V1 – x find the following values. a. (f + g)(x)

A:

Q: Find the value f(3) for the function f(x)=9

A:

Q: For each of the following functions, f(0), find f(1), ​and ​f(5).

A: Follow the procedure given below.

Q: Determine the function values of the following function   F(x)= 5/x+1   F(0)=    F(2)=

A:

Q: Determine h(x²) for the following function. 3x h(x) = %3D x2 + x- 6

A: Solving the problem by jus finding the value of h(x2).

Q: If h(x) 6.x + 1, find h(). Is h a one-to-one function?

A: If h(x) = 6x +1. To find h(1/2). Also, to check whether h is a one-to-one function.