Question

solve for input of function given output
question
given ( f(x) = -4x - 2 ), solve for ( x ) when ( f(x) = 6 ).
answer

Explanation:

Step1: Substitute f(x) with 6

We know that \( f(x) = -4x - 2 \) and \( f(x) = 6 \), so we substitute to get the equation \( 6 = -4x - 2 \).

Step2: Add 2 to both sides

To isolate the term with \( x \), we add 2 to both sides of the equation. So, \( 6 + 2 = -4x - 2 + 2 \), which simplifies to \( 8 = -4x \).

Step3: Divide both sides by -4

To solve for \( x \), we divide both sides of the equation \( 8 = -4x \) by -4. So, \( \frac{8}{-4} = \frac{-4x}{-4} \), which gives \( x = -2 \).

Answer:

\( x = -2 \)