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For f(x)=2x+1 and g(x)=x^2-7 find (f-g)(x)
Question
For f(x)=2x+1 and g(x)=x^2-7 find (f-g)(x)
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Mathematics
4 years
2021-07-23T10:43:21+00:00
2021-07-23T10:43:21+00:00 1 Answers
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Answers ( )
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.
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