The function f(x) = log4x is dilated to become g(x) = f (1/3x).
What is the effect on f(x)?

Given:

The functions are:

The function f(x) is dilated to become g(x).

To find:

The effect on f(x).

Solution:

Transformation is defined as:

           ...(i)

Where, k is the factor of horizontal stretch and compression.

If 0<k<1, then the graph of f(x) stretched horizontally by factor .

If k>1, then the graph of f(x) compressed horizontally by factor .

It is given that

         ...(ii)

On comparing (i) and (ii), we get

Therefore, the graph of f(x) stretched horizontally by factor .

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