Question

Linear Relationships RetakeConsider the function f(x) and its transformation.f(x) = 5x + 1g(x) = f(x) + 6Write the equation in slope-intercept form for g(x).PLEASE HELP

Answer 1

The equation in slope-intercept form is;

`g(x)=5x+7`

Step-by-step explanation:

Given the function f(x);

`f(x)=5x+1`

And its transformation g(x);

`g(x)=f(x)+6`

To get the equation for g(x), let us substitute f(x) into the function g(x);

`\begin{gathered} g(x)=f(x)+6 \\ g(x)=5x+1+6 \\ g(x)=5x+7 \end{gathered}`

Therefore, the equation in slope-intercept form is;

`g(x)=5x+7`