which input value produces the same output value for the two functions on the graph?\nf(x)=-\frac{2}{3}x +…
which input value produces the same output value for the two functions on the graph?\nf(x)=-\frac{2}{3}x + 1\ng(x)=\frac{1}{3}x - 2
Answer
Explanation:
Step1: Set the two functions equal
Set $f(x)=g(x)$, so $-\frac{2}{3}x + 1=\frac{1}{3}x-2$.
Step2: Move x - terms to one side
Add $\frac{2}{3}x$ to both sides: $1=\frac{1}{3}x+\frac{2}{3}x - 2$.
Step3: Combine like - terms
$1 = x-2$ since $\frac{1}{3}x+\frac{2}{3}x=x$.
Step4: Solve for x
Add 2 to both sides: $x=3$.
Answer:
$3$