### Home > A2C > Chapter 2 > Lesson 2.1.4 > Problem2-55

2-55.

For the function $f ( x ) = \sqrt { 3 x - 2 }$, find the value of each expression below. Homework Help ✎

1. $f(1)$

Substitute $1$ for $x$.

$\textit{f}(1)=\sqrt{3-2}$

$f(1)=1$

1. $f(9)$

1. $f(4)$

1. $f(0)$

The square root of a negative number is undefined.

1. What value of $x$ makes $f(x)=6$?

Substitute $6$ for $f(x)$.

$6=\sqrt{3\textit{x}-2}$

Square both sides.

$36=3x−2$

Solve for $x$.

$\textit{x}=12\frac{2}{3}$