Given that (3,5) is on the graph of f(x) find the corresponding point for the function -3f(x)

The point corresponding to (3,5) on the graph of the function -3f(x) is (-9,-15).

Step-by-step explanation:

Since, we are given a function f(x) such that the point (3,5) lie on the graph of the function f(x).

Now we are given a new function g(x) as -3f(x) i.e. g(x)=-3f(x).

Clearly this new function g(x) is a dilation of f(x) by a scale factor of '-3'.

Hence every coordinates of the this new function will get multiplied by the scale factor.

i.e. (-3×3,-3×5)=(-9,-15)

Hence, the point corresponding to the point (3,5) on the graph of f(x) will convert to the point (-9,-15) on the graph of g(x)= -3f(x).

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step-by-step explanation: