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Dmitriy789 [7]
3 years ago
13

Multiply. Check for reasonableness.

Mathematics
1 answer:
telo118 [61]3 years ago
7 0

Answer:

I need some help with this!

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What is the inverse of cube root x/3 +1
Ostrovityanka [42]

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{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;

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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

8 0
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