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

 Mar 15, 2024
 #1
avatar+2 
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i am confused this problem..

thank you!

 Mar 15, 2024
 #2
avatar+129771 
+1

5x + 5   =    3

 

5x  = -2

 

x  = -2/5

 

So

 

(1/5) f( 5x + 5)  - 5  = 

 

(1/5)f(5 (-2/5) + 5) - 5   =

 

(1/5) f(3) -  5   =

 

(1/5) (4)  - 5   =

 

-21/5

 

The point is   (-2/5, - 21/5)

 

 

cool cool cool

 Mar 15, 2024

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