What is the effect of k on f(x)=g(5x) where g(x) is a piecewise function? Explain.

g(x) will be dilated horizontally to get f(x)

Step-by-step explanation:

Given

f(x) = g(kx) --> the correct equation

Required

The effect of k

The given equation is an illustration of horizontal dilation.

If |k| is greater than 0, then the function will be compressed.

However, if |k| is between 0 and 1 (exclusive), then the function will be stretched.

Take for instance:

f(x) = g(x/5)

In the above function, g(x) will be stretched by 5 units

Another instance is:

f(x) = g(x/0.5)

In the above function, g(x) will be stretched by 0.5 units

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step-by-step explanation: