given $f(x) = 3x + 1$, solve for $x$ when $f(x) = 7$.
given $f(x) = 3x + 1$, solve for $x$ when $f(x) = 7$.
Answer
Explanation:
Step1: Substitute f(x) with 7
We know that ( f(x) = 3x + 1 ) and ( f(x) = 7 ), so we substitute to get ( 7 = 3x + 1 ).
Step2: Subtract 1 from both sides
Subtract 1 from each side: ( 7 - 1 = 3x + 1 - 1 ), which simplifies to ( 6 = 3x ).
Step3: Divide both sides by 3
Divide both sides by 3: ( \frac{6}{3} = \frac{3x}{3} ), so ( x = 2 ).
Answer:
( x = 2 )