SOLUTION: Given f(x) = 4x-3 and g(x) = 2x to the power of 2 - 5 find f[g(-1)] and g[f(-1]

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Question 37990: Given f(x) = 4x-3 and g(x) = 2x to the power of 2 - 5 find f[g(-1)] and
g[f(-1]
Answer by ilana(307) About Me  (Show Source):
You can put this solution on YOUR website!
f(x)=4x-3 and g(x)=2x^2-5.
g(-1)=2(-1)^2-5 = 2-5 = -3.
f(-3)=4(-3)-3 = -12-3 = -15.
So f[g(-1)]=-15.
f(-1)=4(-1)-3 = -4-3 = -7.
g(-7)=2(-7)^2-5 = 2*49-5 = 93.
So g[f(-1)]=93.