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If f(x)=3x^2-4 and g(x)=x+2, find (f-g)(x)?

1 Answer

Mar 21, 2018

$3 x^{2} - x - 6$ $3x^2-x-6$

Explanation:

$f - g (x) = f (x) - g (x) \to$ $f-g(x)=f(x)-g(x) rarr$ Subtract the functions

$3 x^{2} - 4 - (x + 2)$ $3x^2-4-(x+2)$

$3 x^{2} - 4 - x - 2 \to$ $3x^2-4-x-2 rarr$ Distribute the negative out

$3 x^{2} - 4 - 2 - x \to$ $3x^2-4-2-x rarr$ Combine like terms

$3 x^{2} - 6 - x$ $3x^2-6-x$

$3 x^{2} - x - 6 \to$ $3x^2-x-6 rarr$ Rearrange to put the variables first

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