SOLUTION: Let f(x)=(x-2)/4 and g(x)=2x^2+4 Find g(g(x)) A. 8x4 + 32x2 + 36 B. 4x4 + 4 C. 0.5x2 + 0.5 D. 2x4 + 4

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: Let f(x)=(x-2)/4 and g(x)=2x^2+4 Find g(g(x)) A. 8x4 + 32x2 + 36 B. 4x4 + 4 C. 0.5x2 + 0.5 D. 2x4 + 4      Log On


   

Question 762485: Let f(x)=(x-2)/4 and g(x)=2x^2+4
Find g(g(x))
A. 8x4 + 32x2 + 36

B. 4x4 + 4

C. 0.5x2 + 0.5

D. 2x4 + 4
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Let f(x)=(x-2)/4 and g(x)=2x^2+4
Find g(g(x)) = g[2x^2+4] = 2(2x^2+4)^2 + 4 = 2[4x^4+16x^2+16] + 4
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= 8x^4 + 32x^2 + 36
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Answer: A
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Cheers,
Stan H.
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A. 8x4 + 32x2 + 36
B. 4x4 + 4
C. 0.5x2 + 0.5
D. 2x4 + 4