If h (x) = x^2, then h (3x) = 9h (x). Explain algebraically why this happens.

Question

Mathematics

Finn Maynard

11 October, 01:01

If h (x) = x^2, then h (3x) = 9h (x). Explain algebraically why this happens.

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Answers (1)

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Fuzzy · Answer 1

h (x) = x^2

To find h (3x) we let x in the function h (x) be replaced by 3x. Wegetr:

h (3x) = (3x) ^2

Now we simplify the right side.

h (3x) = (3x) ^2 = 3^6x*2 = 9x^2

Since h (x) = x^2, then 9x^2 is the same as 9h (x).

h (3x) = (3x) ^2 = 3^6x*2 = 9x^2 = 9h (x)