treyblumer
treyblumer treyblumer
  • 27-05-2017
  • Mathematics
contestada

if f(x)=x^2-7 and h(x)=7x-5, then f(h(2))=

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angelicdragon12
angelicdragon12 angelicdragon12
  • 27-05-2017
We are given 3 equations. Using these equations we can find f(h(2)).

h(x)=7x-5
h(2)=7(2)-5
h(2)=14-5
h(2)=9

f(x)=x^2-7
f(h(2))=(7x-5)^2-7
we know the answer for h(2) by now, so we can substitute for that.
f(9)=9^2-7
f(9)=81-7
f(9)=74

so f(h(2))=74
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