Question

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

Answer 1

Answer:

$f(g(1))=11$

Step-by-step 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:

$f(g(1))=11$