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9:54 LimeSpring Select your answer (8 out of 9) What is the inverse function of g(x) = $$\sqrt[3]{x}$$ $$g^{-1}(x) = 3x$$ $$g^{-1}(x) = \sqrt[3]{x}$$ $$g^{-1}(x) = x^3$$ $$g^{-1}(x) = 3x + 1$$ Next Question Get a Hint! Explanation portal.limespring.org

Name: 954 limespring select your answer 8 out of 9 what is the inverse function of gx sqrt3x g 1x 3x g 1x sqrt3x g 1x x3 g 1x 3x 1 next question get a hint explanation portallimespringorg 29475
Uploaded: 2024-07-02T01:47:55-08:00
Duration: 3 min 39 s
Channel: Danielle Fairburn
Description: 954 limespring select your answer 8 out of 9 what is the inverse function of gx sqrt3x g 1x 3x g 1x sqrt3x g 1x x3 g 1x 3x 1 next question get a hint explanation portallimespringorg 29475

          9:54
LimeSpring
Select your answer
(8 out of 9)
What is the inverse function of g(x) = $$\sqrt[3]{x}$$
$$g^{-1}(x) = 3x$$
$$g^{-1}(x) = \sqrt[3]{x}$$
$$g^{-1}(x) = x^3$$
$$g^{-1}(x) = 3x + 1$$
Next Question
Get a Hint!
Explanation
portal.limespring.org

954 limespring select your answer 8 out of 9 what is the inverse function of gx sqrt3x g 1x 3x g 1x sqrt3x g 1x x3 g 1x 3x 1 next question get a hint explanation portallimespringorg 29475

Added by Linda W.

Elementary and Intermediate Algebra

Alan S. Tussy, R. David Gustafson 5th Edition

Instant Answer

Solved by Expert Danielle Fairburn

07/02/2024

Step 1

Replace $$g(x)$$ with $$y$$: $$y = \sqrt[3]{x}$$ 2. Swap $$x$$ and $$y$$: $$x = \sqrt[3]{y}$$ 3. Solve for $$y$$: To isolate $$y$$, we need to eliminate the cube root. We do this by cubing both sides of the equation. $$(x)^3 = (\sqrt[3]{y})^3$$ $$x^3 = y$$ 4. Show more…

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9:54 LimeSpring Select your answer (8 out of 9) What is the inverse function of g(x) = $$\sqrt[3]{x}$$ $$g^{-1}(x) = 3x$$ $$g^{-1}(x) = \sqrt[3]{x}$$ $$g^{-1}(x) = x^3$$ $$g^{-1}(x) = 3x + 1$$ Next Question Get a Hint! Explanation portal.limespring.org