Question

Evaluate Indicated Function!f(x) = x^2 - 1g(x) = x - 2

Answer 1

Given the following functions

`\begin{gathered} f(x)=x^2-1 \\ g(x)=x-2 \end{gathered}`

We want to evaluate

`(f+g)(t-4)`

First, let's create this composition of functions. Since it is a sum, we just need to add them together.

`(f+g)(x)=f(x)+g(x)=x^2-1+x-2=x^2+x-3`

Now, to evaluate at t - 4, we just need to substitute our variable for t - 4.

`\begin{gathered} (f+g)(t-4)=(t-4)^2+(t-4)-3 \\ =t^2-8t+16+t-4-3 \\ =t^2-7t+9 \end{gathered}`

And this is our final answer.

`(f+g)(t-4)=t^2-7t+9`