Question

Given that f(x) = x2 + 6x – 2, g(x) = x – 7, and h(x) = x + 4 find each function. (g − f)(x)

Answer 1

$(g-f)(x) = -x^2-5x-5$

Step-by-step explanation:

Given functions are:

$f(x) = x^2+6x-2\\g(x) = x-7\\h(x) = x+4$

The operations on functions can be performed just as they are performed on polynomials

So

$(g-f)(x)=g(x)-f(x)\\=(x-7)-(x^2+6x-2)\\=x-7-x^2-6x+2$

Combining like terms

$=-x^2+x-6x-7+2\\=-x^2-5x-5$

Hence,

$(g-f)(x) = -x^2-5x-5$

Keywords: Functions

Learn more about functions at:

• brainly.com/question/2821386
• brainly.com/question/2860697

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