Question

1. consider the function $f(x) = -4x + 5$. find the value of $x$ for which $f(x) = -23$. write each line of work as an equation.

Explanation:

Step1: Set up the equation

We know that \( f(x)=-4x + 5 \) and \( f(x)=-23 \), so we set the two equal to each other:
\( -4x + 5=-23 \)

Step2: Subtract 5 from both sides

To isolate the term with \( x \), we subtract 5 from both sides of the equation:
\( -4x+5 - 5=-23 - 5 \)
Simplifying both sides gives:
\( -4x=-28 \)

Step3: Divide by -4

To solve for \( x \), we divide both sides of the equation by -4:
\( \frac{-4x}{-4}=\frac{-28}{-4} \)
Simplifying gives:
\( x = 7 \)

Answer:

\( x = 7 \)