Question

question
given ( h(x) = -2x - 5 ), solve for ( x ) when ( h(x) = 9 ).

Explanation:

Step1: Substitute h(x) with 9

We know that \( h(x) = -2x - 5 \) and \( h(x) = 9 \), so we substitute \( h(x) \) in the function with 9, getting the equation \( 9 = -2x - 5 \).

Step2: Add 5 to both sides

To isolate the term with \( x \), we add 5 to both sides of the equation: \( 9 + 5 = -2x - 5 + 5 \), which simplifies to \( 14 = -2x \).

Step3: Divide by -2

To solve for \( x \), we divide both sides of the equation by -2: \( \frac{14}{-2} = \frac{-2x}{-2} \), which gives \( x = -7 \).

Answer:

\( x = -7 \)