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Evaluate each function given that f(x)=3x^2-2x and g(x)= -8x-x. Give your answer in simplest form.

a) f(-9)

b) g(-3)

c) f (p+4)

User Carl Poole
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1 Answer

1 vote

9514 1404 393

Answer:

  • 261
  • 27 (see comment)
  • 3p^2 +22p +40

Explanation:

In each case, put the function argument where the variable is and do the arithmetic (or algebra).

a) f(-9) = 3(-9)^2 -2(-9) = 3·81 +18 = 261

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b) g(-3) = -8(-3)-(-3) = 24 +3 = 27

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c) f(p+4) = 3(p+4)^2 -2(p+4)

= 3(p^2 +8p +16) -2p -8

= 3p^2 +22p +40

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Additional comment

The form of g(x) is unusual, leading us to suspect it might be ...

g(x) = -8x^2 -x

In that case,

g(-3) = -8(-3)^2 -(-3) = -8·9 +3 = -69

User CamHart
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5.4k points