### Home > A2C > Chapter 6 > Lesson 6.1.2 > Problem6-36

6-36.

Consider the function$f ( x ) = \frac { 2 } { 7 - x }$.

1. What is $f\left(7\right)$?

Undefined

2. What is the domain of $f\left(x\right)$?

$x ≠ 7$

3. If $g\left(x\right)=2x+5$, what is $g\left(3\right)$?

$11$

4. Now use the output of $g\left(3\right)$ as the input for $f$ to calculate $f\left(g\left(3\right)\right)$.

Substitute the value of $g\left(3\right)$ for $x$ in $f\left(x\right)$.