Mathematics: What is the inverse of cube root x/3 +1

What is the inverse of cube root x/3 +1 - id315506403, janaemartinez42

Ответ:

mommy562

21.01.2022

Mathematics

${f}^{ - 1} (x) = 3 {x}^{2} - 3$

Step-by-step explanation:

We want to find the inverse of

$y = \sqrt[3]{ \frac{x}{3} + 1}$

We interchange x and y to get:

$x= \sqrt[3]{ \frac{y}{3} + 1}$

We solve for y;

${x}^{2} = \frac{y}{3} + 1$

Multiply through by 3

$3 {x}^{2} = y + 3$

Subtract 1 from both sides:

$y = 3 {x}^{2} - 3$

Therefore the inverse is

${f}^{ - 1} (x) = 3 {x}^{2} - 3$

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Ответ:

vanessabeausoleil

31.07.2021

Mathematics

So here we have 2 equations:

2|x+1| - 1 = 11 and 2y - 1 = 11

Well, if you compare these two equations, you can notice that the |x+1| have been substituted by the variable y. So the student considered that y = |x+1|.

Hope this helps! :)

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What is the inverse of cube root x/3 +1

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