SOLUTION: let f(x)=2x^2 if (f-h)(x)=2x^2-x-1 what is (h)x

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Question 888268: let f(x)=2x^2
if (f-h)(x)=2x^2-x-1 what is (h)x
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
let f(x)=2x^2
if (f-h)(x)=2x^2-x-1 what is (h)x
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(f-h)(x) = f(x) - h(x)

(f-h)(x) = ( f(x) ) - ( h(x) )

2x^2-x-1 = ( 2x^2 ) - ( h(x) )

2x^2-x-1 - ( 2x^2 ) = - ( h(x) )

2x^2-x-1 - 2x^2 = - ( h(x) )

-x-1 = - ( h(x) )

- ( h(x) ) = -x-1

h(x) = -1*(-x-1)

h(x) = -1*(-x)-1*(-1)

h(x) = x + 1