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# f(x)=5x^3-2x+8 and g(x)=6x-4 what is g((f(x))

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Intern
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f(x)=5x^3-2x+8 and g(x)=6x-4 what is g((f(x)) [#permalink]  20 Oct 2007, 10:45
f(x)=5x^3-2x+8 and g(x)=6x-4

what is g((f(x))?
VP
Joined: 10 Jun 2007
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Re: Basic algebra [#permalink]  20 Oct 2007, 10:58
inwosu wrote:
f(x)=5x^3-2x+8 and g(x)=6x-4

what is g((f(x))?

g((f(x)) = g(5x^3-2x+8)
= 6*(5x^3-2x+8) - 4
= 30x^3 - 12x + 44
Director
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Re: Basic algebra [#permalink]  20 Oct 2007, 10:59
bkk145 wrote:
inwosu wrote:
f(x)=5x^3-2x+8 and g(x)=6x-4

what is g((f(x))?

g((f(x)) = g(5x^3-2x+8)
= 6*(5x^3-2x+8) - 4
= 30x^3 - 12x + 44

i got that as well and simplified a bit further
15x^3 - 6x + 22

can it be simplified further?
Manager
Joined: 02 Aug 2007
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Do they want the answer as an integer or as an expression?

Here's a simplified expression:
15x^3-6x+22
Director
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Re: Basic algebra [#permalink]  20 Oct 2007, 11:02
beckee529 wrote:
bkk145 wrote:
inwosu wrote:
f(x)=5x^3-2x+8 and g(x)=6x-4

what is g((f(x))?

g((f(x)) = g(5x^3-2x+8)
= 6*(5x^3-2x+8) - 4
= 30x^3 - 12x + 44

i got that as well and simplified a bit further
15x^3 - 6x + 22

can it be simplified further?

the furthest i can go is

3x(5x^2 - 2) +22

Intern
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bkk145 is right. The answer is = 30x^3 - 12x + 44 all the answer choices are similar
VP
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I don't think you can simplify the equation b/c you don't know what g(x) equals to.
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bkk145 wrote:
I don't think you can simplify the equation b/c you don't know what g(x) equals to.

Absolutely ... We cannot simplify

g(x) = 30x^3 - 12x + 44... We are not with = 30x^3 - 12x + 44 = 0 for instance.

But we could factorize and that's a way some people simplify in roots
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