Chapter 1.4, Problem 3MCQ

To determine

To find: $g\left(n+2\right)$

Answer to Problem 3MCQ

  $\frac{3}{n+1}$

Explanation of Solution

Given information: $g\left(x\right)=\frac{3}{x-1}$

Calculation:

Substitute $x=n+2$ in $g\left(x\right)$ and simplify as shown below.

  $\begin{array}{c}g\left(x\right)=\frac{3}{x-1}\\ g\left(n+2\right)=\frac{3}{\left(n+2\right)-1}\\ =\frac{3}{n+1}\end{array}$

Thus, the value of $g\left(n+2\right)$ is $\frac{3}{n+1}$ .