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Veritas Algebra Lesson Book Question 91 explanation

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Veritas Algebra Lesson Book Question 91 explanation [#permalink]

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New post 21 Mar 2016, 11:20
91. If g is a function defined for all x by g(2x) = (x^4)/ 16, then what is the value of g(2x) in terms of g(x)?

I'm not sure where to go with this one. Any help?

Thanks

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Re: Veritas Algebra Lesson Book Question 91 explanation [#permalink]

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New post 21 Mar 2016, 20:57
grahsar wrote:
91. If g is a function defined for all x by g(2x) = (x^4)/ 16, then what is the value of g(2x) in terms of g(x)?

I'm not sure where to go with this one. Any help?

Thanks


Before I answer this one, let me ask you one question.

If f(x) = 24x + 5
what is f(2x)?
What do you do? You put 2x in place of x everywhere and proceed.
So
f(2x) = 24(2x) + 5


In this question, g(2x) is defined for you. You need g(x)
g(2x) = x^4/16

You need g(x) so in place of 2x you substitute x everywhere.
First, bring in a 2x.

\(g(2x) = \frac{x^4}{16} = \frac{16*x^4}{16*16} = \frac{(2x)^4}{16*16}\)

Now replace 2x by x.
\(g(x) = \frac{x^4}{16*16}\)
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Re: Veritas Algebra Lesson Book Question 91 explanation   [#permalink] 21 Mar 2016, 20:57
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