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
$-\frac{2}{3}x + 1=\frac{1}{3}x-2$
Step2: Move x - terms to one side
$-\frac{2}{3}x-\frac{1}{3}x=-2 - 1$
Step3: Combine like - terms
$-\left(\frac{2}{3}+\frac{1}{3}\right)x=-3$ $-x=-3$
Step4: Solve for x
$x = 3$
Answer:
$3$