### Home > CCA2 > Chapter 5 > Lesson 5.2.1 > Problem5-61

5-61.

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

1. What is f(7)?

2. What is the domain of f(x)?

3. If g(x) = 2x + 5, what is g(3)?

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

Substitute 7 for x.

Division by 0 is undefined. What x-value causes division by 0 for this function?
x cannot have that value.

Substitute 3 for x.

g(3) = 11, therefore calculate f(11).