Question

Find the indicated values, where g(t)=t^2-t and f(x)=1+x g(f(2)+3)

Answer 1

`g(f(2)+3)=30`

Explanation:

We have the two functions:

`g(t)=t^2-t\text{ and } f(x)=1+x`

And we wish to find:

`g(f(2)+3)`

First, let’s find f(2) first. So, we will substitute 2 for x for f(x):

`f(2)=1+(2)=3`

Hence, we can now substitute 3 for f(2):

`g(f(2)+3)=g(3+3)=g(6)`

Now, we can find g(6). Substitute 6 for t for g(t):

`g(6)=(6)^2-(6)=36-6=30`

Therefore:

`g(f(2)+3)=30`