If f(x) = 5x² and g(x) = √2x what is the value of (f o g)(8)?

2009-06-11 2:18 pm
I had this question in my math course today and it really threw me.

回答 (5)

2009-06-11 2:37 pm
✔ 最佳答案
f(x) = 5x² and g(x) = √2x

(f o g)(8)=8[5(√2x)^2]
=[5√(4x^2)]
=[5(2x)]
=[10(8)]
=80 answer//
2009-06-11 10:14 pm
f(x) = 5x^2
g(x) = √(2x)

f(x) → (f o g)(x)

f(x) = 5x^2
(f o g)(x) = 5[√(2x)]^2
(f o g)(x) = 5(2x)
(f o g)(x) = 10x

(f o g)(x) = 10x
(f o g)(8) = 10(8)
(f o g)(8) = 80
2009-06-11 9:24 pm
g(8)=sqrt(2*8)=sqrt(16)=4
f(g(8))=f(4)=5*16=80
2009-06-11 9:26 pm
g(8)=√2 x 8
f(g(8))=f(√2 x 8)

f(g(8))=5 x(√2 x 8)²
=640
2009-06-11 9:29 pm
Your answer is 640


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