Question

solve for ( x ) given the knowledge that ( f(x) = -11 ), if ( f(x) = 10 + 7x )
a. ( x = -3 )
b. ( x = -67 )
c. ( x = 17 )
d. ( x = -\frac{21}{7} )

Explanation:

Step1: Set up the equation

We know that \( f(x) = -11 \) and \( f(x)=10 + 7x \). So we set \( 10+7x=-11 \).

Step2: Solve for \( x \)

Subtract 10 from both sides: \( 7x=-11 - 10 \), which simplifies to \( 7x=-21 \). Then divide both sides by 7: \( x=\frac{-21}{7}=-3 \).

Answer:

A. \( x = -3 \)