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Georgia [21]
3 years ago
10

If ƒ(n) = 3n 2 - 7, then ƒ(-2) equals _____.

Mathematics
1 answer:
Gnom [1K]3 years ago
5 0
F(n) = 3n² - 7

f(-2) = 3(-2)² - 7
f(-2) = 3(4) - 7
f(-2) = 12 - 7
f(-2) = 5
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please help! functions and relations. f(x)= square root of x-4. find the inverse of f(x) and it’s domain.
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ANSWER:

\:D.\text{ }f^{-1}\left(x\right)=\left(x+4\right)^2;x\ge-4

STEP-BY-STEP EXPLANATION:

We have the following equation:

f(x)=\sqrt{x}-4

The inverse is the following (we calculate it by replacing f(x) by x and x by f(x)):

\begin{gathered} x=\sqrt{f^{-1}(x)}-4 \\  \\ \sqrt{f^{-1}(x)}=x+4 \\  \\ f^{-1}(x)=(x+4)^2 \end{gathered}

The domain would be the range of the original equation, and it would be the range of values that f(x) could take, which was from -4 to positive infinity, that is, f(x) ≥ -4.

Therefore, the domain is x ≥ -4.

So the correct answer is D.

\:f^{-1}\left(x\right)=\left(x+4\right)^2;x\ge -4

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