Question

F(x) = 1
g(x) = x - 4
Can you evaluate (g•f)(0)? Explain why or why not?

Answer 1

To evaluate the composition, you need to find the value of function f first. But, f(0) is 1 over 0, and division by 0 is undefined. Therefore, you cannot find the value of the composition.

You must evaluate the function f first.

Division by 0 is undefined.

The composition cannot be evaluated.

Answer 2

This is a multiplication of functions g and f, and these functions have no restrictions(such as a even root or a fraction), and thus
`(g \mult f)(0) = g(0)f(0) = -4(1) = -4`

Explanation:

We are given the following functions:

`f(x) = 1`

`g(x) = x - 4`

Can you evaluate (g•f)(0)?

This is a multiplication of functions g and f, and these functions have no restrictions(such as a even root or a fraction), and thus
`(g \mult f)(0) = g(0)f(0) = -4(1) = -4`