Question

4.) solve for f(g(2))

Answer 1

Answer:

$f(g(2))=10$

Step-by-step explanation:

We have the two functions: $f(x)=3x-5$ and $g(x)=2+\frac{6}{x}$.

We want to find $f(g(2))$.

So, let's use the second function to find $g(2)$ first:

$g(2)=2+\frac{6}{2}$

Divide:

$g(2)=2+3$

Add:

$g(2)=5$

Therefore, our expression is the same to $f(g(2))=f(5)$.

Now, we can substitute 5 for f(x). This yields:

$f(5)=3(5)-5$

Multiply:

$f(5)=15-5$

Subtract:

$f(5)=10$

So:

$f(g(2))=10$

And we're done!