szappa16 szappa16
  • 11-03-2021
  • Mathematics
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4) if f (x) = 3x² +6x-11 and g(x)=–2x+9, find the value of g(f(-3)).

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ninjapuppy ninjapuppy
  • 11-03-2021
g(f(-3)) means you are plugging in for g(x) whatever value you get for f(-3).

f(x) = 3x^2+6x-11
f(-3) = 3(-3)^2 + 6(-3) + 11
f(-3) = 27 -18 +11
f(-3) = 20

g(f(-3)) becomes g(20)

Now plug 20 in for x in g(x) = -2x + 9
g(20) = -2(20) + 9
g(20) = -40 + 9
g(20) =-31
g(f(-3)) = -31
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