Question

For the function g(x) = 4x – 48, find g(-4).-4.)(Enter your answer as Ø if the function does not have a value at x =Provide your answer below:g{ – 4)=

Answer 1

Solution:

Given:

$g(x)=\sqrt[3]{4x-48}$

g(-4) means the value of g(x) when x = -4

Substituting x = -4 into the function,

$\begin{gathered} g(x)=\sqrt[3]{4x-48} \\ g(-4)=\sqrt[3]{4(-4)_{}-48} \\ g(-4)=\sqrt[3]{-16_{}-48} \\ g(-4)=\sqrt[3]{-64} \\ g(-4)=-4 \end{gathered}$

Also, showing the function on a graph using a graph plotter, the function is as plotted below;

The point when x = -4 corresponds to y = -4

Therefore,

$g(-4)=-4$