Question

If f(x) = 2x+7 and g(x) = -3x+5, what is f(g(1))?

Answer 1

`f(g(1))=11`

Explanation:

So we have the two functions:

`f(x)=2x+7\text{ and } g(x)=-3x+5`

And we want to find f(g(1)).

So, let's find g(1) first:

`g(x)=-3x+5`

Substitute 1 for x:

`g(1)=-3(1)+5`

Simplify:

`g(1)=-3+5`

Add:

`g(1)=2`

So:

`f(g(1))=f(2)`

Now, substitute 2 for x in f(x):

`f(x)=2x+7\\f(2)=2(2)+7`

Multiply:

`f(2)=4+7`

Add:

`f(2)=11`

So:

`f(g(1))=11`