Question

solve for input of function given output
question
given $h(x) = 3x + 4$, solve for $x$ when $h(x) = 1$.

Explanation:

Step1: Substitute \( h(x) \) with 1

We know \( h(x) = 3x + 4 \) and \( h(x) = 1 \), so substitute to get \( 1 = 3x + 4 \).

Step2: Subtract 4 from both sides

Subtract 4 from each side: \( 1 - 4 = 3x + 4 - 4 \), which simplifies to \( -3 = 3x \).

Step3: Divide by 3

Divide both sides by 3: \( \frac{-3}{3} = \frac{3x}{3} \), so \( x = -1 \).

Answer:

\( x = -1 \)