Assume that $f(3) = 4$. Name a point that must be on the graph of $y= 1/5*f(5x + 5) - 5$.

tomtom Dec 6, 2023

#1**-1 **

Since we are given that f(3)=4 and we know that f is a function (i.e. each input x corresponds to a unique output y), we can plug in x=3 into the definition of y=1/5∗f(5x+5)−5 to get 1/5∗f(5(3)+5)−5.

Evaluating this expression inside out, we get 1/5∗f(20)−5. Since f(3)=4, we know that f(20)=5f(4), so we can substitute to get 1/5∗f(20)−5=1/5∗(5f(4))−5=f(4)−5=4−5=(−1,−6).

BuiIderBoi Dec 6, 2023