savannhajohnson
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  • 06-05-2020
  • Mathematics
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Evaluate a Composition of Functions
Given f(x) = x - 7 and g(x) = x2
Find g(f(-1)).
g(f(-1)) =

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Cxlver
Cxlver Cxlver
  • 06-05-2020

[tex]f(x) = x - 7 \text{ and } g(x) = x^{2}\\g(f(x)) = (f(x))^{2} = (x- 7)^{2}\\g(f(-1)) = (-1 - 7)^{2} = (-8)^{2} = \boxed{64}[/tex]

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