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Given #f(x) = x +2# and #g(x)= 2x^2-4x+2#, how do you find #f(x)-g(x)#?

Answer 1

Abigail Allen

#-2x^2+5x+0#

#f(x) = " "0x^2+" 2 x+2# #g(x)=" "underline(2x^2-4x+2) ->("subtract")# #f(x)-g(x) " "-2x^2+5x+0#

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Answer 2

Eva Adamson

To find ( f(x) - g(x) ), simply subtract the expression for ( g(x) ) from the expression for ( f(x) ):

[ f(x) - g(x) = (x + 2) - (2x^2 - 4x + 2) ]

[ = x + 2 - 2x^2 + 4x - 2 ]

[ = -2x^2 + 5x ]

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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