Step 1
Given:
[tex]f(x)\text{ = -3x-7}[/tex]Required: To find if the function above has an inverse.
Step 2
Find the inverse
[tex]\begin{gathered} \text{Let f(x) = y} \\ \text{Hence, y= -3x-7} \end{gathered}[/tex]Replace x with y and y with x
[tex]x=-3y-7[/tex]Make y the subject of the formula
[tex]\begin{gathered} x+7=-3y \\ \frac{-3y}{-3}=\frac{x+7}{-3} \end{gathered}[/tex][tex]\begin{gathered} y=-\frac{(x+7)}{3} \\ f(x)\text{ =}-\frac{(x+7)}{3} \end{gathered}[/tex]Hence, the function has an inverse, therefore the answer is true
