### Home > AC > Chapter 12 > Lesson 12.4.2 > Problem12-76

12-76.

For $f ( x ) = \frac { x ^ { 2 } } { x + 5 }$ and $g ( x ) = \sqrt { 3 x - 2 }$ find the following, if possible.

1. $f(6)$

1. $g(17)$

1. $f(−5)$

1. $g(−2)$

1. $g(−1)−f(2)$

1. $f(4)+g(2)$

1. $g(x+2)$

1. $f(x−1)$

$f ( 6 ) = \frac { 6 ^ { 2 } } { 6 + 5 }$

$f ( 6 ) = \frac { 36 } { 11 }$

$g ( 17 ) = \sqrt { 3 ( 17 ) - 2 }$

$\left. \begin{array} { l } { g ( 17 ) = \sqrt { 51 - 2 } } \\ { g ( 17 ) = \sqrt { 49 } } \end{array} \right.$

$g(17)=7$

$f(−5)=$ undefined

Substitute $−1$ into the equation $g(x)$ and $2$ into the equation $f(x)$.

Subtract the second answer from the first.

$\textit{g}( \textit{x} + 2 ) = \sqrt{3\textit{x} + 4}$