For f(x) = 2x+1 and g(x) = x² -7, find (ƒ-g)(x).
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Answer:
-x2 + 2x + 8
Step-by-step explanation:
Your first step will be to set up the problem:
f(x) - g(x)
Next, you will substitute in your values:
(2x + 1) - (x2 - 7)
The easiest way to do the subtraction problems is to distribute your negative into your second set of parenthesis, so your expression would become:
2x + 1 - x2 + 7
Then combine your like terms:
2x - x2 + 8
Lastly, put your expression in standard form (highest exponent to lowest)
-x2 + 2x + 8
Answer:
A
Step-by-step explanation:
(f - g)(x)
= f(x) - g(x)
= 2x + 1 - (x² - 7) ← distribute parenthesis by - 1
= 2x + 1 - x² + 7 ← collect like terms
= - x² + 2x + 8