Question

Evaluate f (x) = 22 for the function f (x) = 5 (x – 3) + 17.

Answer 1

We have to find x so that f(x)=22.

The expression for f(x) is:

`f(x)=5(x-3)+17`

To find x re replace f(x) with the value 22 and calculate:

`\begin{gathered} f(x)=5(x-3)+17 \\ 22=5(x-3)+17 \\ 22-17=5(x-3) \\ 5=5(x-3) \\ (5)/(5)=x-3 \\ 1=x-3 \\ 1+3=x \\ x=4 \end{gathered}`

Answer: The value of x that makes f(x)=22 is x=4.