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postnew [5]
3 years ago
13

For f(x)=2x+1 and g(x)=x^2-7 find (f-g)(x)

Mathematics
1 answer:
svet-max [94.6K]3 years ago
6 0

Answer:

-x² + 2x + 8

Step-by-step explanation:

Essentially we need to subtract g(x) from f(x):

(f - g)(x) = f(x) - g(x) = (2x + 1) - (x² - 7)

Distribute the negative:

(2x + 1) - x² - (-7) = (2x + 1) - x² + 7

Combine like terms:

2x + 1 - x² + 7

-x² + 2x + 8

Thus, the answer is -x² + 2x + 8.

<em>~ an aesthetics lover</em>

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