Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

question given g(x) = -2x + 1, solve for x when g(x) = 5. answer attemp…

Question

question given g(x) = -2x + 1, solve for x when g(x) = 5. answer attempt 1 out of 2

Explanation:

Step1: Substitute \( g(x) = 5 \) into the function

We know that \( g(x)=-2x + 1 \), and we are given that \( g(x) = 5 \). So we substitute \( g(x) \) with 5 in the equation:
\( 5=-2x + 1 \)

Step2: Solve for \( x \)

First, subtract 1 from both sides of the equation:
\( 5-1=-2x+1 - 1 \)
\( 4=-2x \)

Then, divide both sides by -2:
\( \frac{4}{-2}=\frac{-2x}{-2} \)
\( - 2=x \)

Answer:

\( x=-2 \)