Question

Need help on Composite Function (picture below)

Answer 1

When you see composite functions you need to think of it as two different problems. The inside and the outside.
So for the first one:
\[(gof)(x)\]
Is going to first be
\[f(x)\]
And then the answer for that will go into
\[g(x)\]
When you do not have a value for x it can be tricky.
Take the f(x).
\[f(x)=6x-3\]
Now the value that you have will be plugged in where the x is in g(x).
\[g(f(x)) = \frac{ 1 }{ 3 }(6x-3) +5\]
And then you simplify the right side.

Answer 2

last part is complicated, but i'll try anyways. and Thanks!

Answer 3

It is complicated when you do not have a value for x, so make sure to take your time and write out each step so you do not forget something.