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A-51.

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

$f(1)$
Step (a):
Substitute $1$ for $x$ .
$\textit{f}(1)=\sqrt{3-2}$
Answer (a):
$f(1)=1$

$f(9)$
Hint (b):
See part (a).

$f(4)$
Hint (c):
See part (a).

$f(0)$
Hint (d):
The square root of a negative number is undefined.

What value of $x$ makes $f(x)=6$ ?
Step 1 (e):
Substitute $6$ for $f(x)$ .
$6=\sqrt{3\textit{x}-2}$
Step 2 (e):
Square both sides.
$36=3x−2$
Answer (e)
Solve for $x$ .
$\textit{x}=12\frac{2}{3}$

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