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3 years ago

Solve the inequality. 6x + 3 > 3x + 30 A) x > 9 B) x > 11 C) x > −9 D) x > −11

Mathematics

1 answer:

ANTONII [103]3 years ago

6 0

Subtract 33 from both sides

6x>3x+30-36x>3x+30−3

Simplify 3x+30-33x+30−3 to 3x+273x+27

6x>3x+276x>3x+27

Subtract 3x3x from both sides

6x-3x>276x−3x>27

Simplify 6x-3x6x−3x to 3x3x

3x>273x>27

Divide both sides by 3

3x>\frac{27}{3}x>

3x> 27

Simplify \frac{27}{3}

ANSWER: x>9

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STEP-BY-STEP EXPLANATION:

We have the following equation:

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

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Therefore, the domain is x ≥ -4.

So the correct answer is D.

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