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Let f(x)=7x+2 and g(x)=x^2+x-6. what is f-g?

NEED HELP ASAP!! TEST IS PAST DUE OVER A MONTH AND I ONLY HAVE EXTENDED TIME FOR A LITTLE LONGER!!!

User Luantkow
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2 Answers

3 votes

Answer:

-x^2+ 6x + 8

Explanation:

Use the functions to simplify f-g

User Firedrawndagger
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1 vote

To find f - g, we subtract the function g(x) from the function f(x).

Given:

f(x) = 7x + 2

g(x) = x^2 + x - 6

To find f - g, we subtract g(x) from f(x) by subtracting the corresponding terms:

(f - g)(x) = f(x) - g(x)

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

Next, we simplify the expression by combining like terms:

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

Rearranging the terms, we have:

(f - g)(x) = -x^2 + 6x - x + 2 + 6

Combining like terms again, we get:

(f - g)(x) = -x^2 + 5x + 8

Therefore, the function f - g is given by:

f - g = -x^2 + 5x + 8

User Vex
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