michelle612771 michelle612771
  • 20-09-2021
  • Mathematics
contestada

Given f (x) = 2x² - 4x + 9 and g(x) = 4x +1:
Find (fog)(-1)

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AlgebraicAardvark
AlgebraicAardvark AlgebraicAardvark
  • 20-09-2021

(fog)(-1) = f( g(-1) )

So the first step is to figure out g(-1) and then use that in f(x).

g(-1) = 4(-1) + 1

       = -3

f(-3) = 2(-3)^2 -4(-3) + 9

      = 2(9) + 12 + 9

      = 39

So, (f o g)(-1) = f(g(-1)) = f(-3) = 39

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