SOLUTION: Let h(x)= 2x^2+8x-15 and g(x)=2x^2 Find a linear function f so that h= g 0 f.

Algebra ->  Expressions-with-variables -> SOLUTION: Let h(x)= 2x^2+8x-15 and g(x)=2x^2 Find a linear function f so that h= g 0 f.      Log On


   

Question 184044: Let h(x)= 2x^2+8x-15 and g(x)=2x^2 Find a linear function f so that h= g 0 f.
Answer by HyperBrain(694) About Me  (Show Source):
You can put this solution on YOUR website!
(g(f(x))=2(f(x))2 since g(x)=2x2
2(f(x))2=2x2+8x-15
...
Next>>divide both sides by 2
...
(f(x))2=x2+4x-7.5
...
Next>>take the square root of both sides
...
f(x)=± sqrt%28x%5E2%2B4x-7.5%29
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