F(x) = sqrt(2x); g(x) = sqrt(8x) Find (fg)(x) Assume x >= 0

Question

F(x) = sqrt(2x); g(x) = sqrt(8x) Find (fg)(x) Assume x >= 0

Answer (Tutor Verified)

The functions f(x) and g(x) combine to form a composite functions

The value of the composite function f(g(x)) is 

How to determine the function (fg)(x)

The functions are given as:

To calculate (fg)(x), we have:

This gives

Substitute 

Simplify

Hence, the value of the composite function f(g(x)) is 

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