Answer:
[tex]f(g(1))=11[/tex]
Step-by-step explanation:
So we have the two functions:
[tex]f(x)=2x+7\text{ and } g(x)=-3x+5[/tex]
And we want to find f(g(1)).
So, let's find g(1) first:
[tex]g(x)=-3x+5[/tex]
Substitute 1 for x:
[tex]g(1)=-3(1)+5[/tex]
Simplify:
[tex]g(1)=-3+5[/tex]
Add:
[tex]g(1)=2[/tex]
So:
[tex]f(g(1))=f(2)[/tex]
Now, substitute 2 for x in f(x):
[tex]f(x)=2x+7\\f(2)=2(2)+7[/tex]
Multiply:
[tex]f(2)=4+7[/tex]
Add:
[tex]f(2)=11[/tex]
So:
[tex]f(g(1))=11[/tex]
