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

 Dec 6, 2023
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For f(5x+5) to equal 4 we must have 5x+5 = 3,  so x = -2/5.

 

At x = -2/5 we have y = 1/5 * 4 - 5  or y = -21/5 

 

So the point (-2/5, -21/5) is on the graph.   (The point can also be expressed as (-0.4, -4.2) )

 Dec 6, 2023

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