What is the inverse of g(x)=5x^3-14 ?

The inverse of g(x)=5x^3-14 is cube root of (x+14)/5

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Find the Inverse g(x)=5x^3-14

inverse

g (x) = 5 x^{3} - 14

Solution steps

y = 5 x^{3} - 14

Replace

x

with

y

x = 5 y^{3} - 14

Solve for

y, x = 5 y^{3} - 14

y = \frac{1}{x}

4 x - 4 y = 16

f (x) = x - 1

5 x - 12 y = 24

4 x - 4 y = 32

What is the inverse of g(x)=5x^3-14 ?
The inverse of g(x)=5x^3-14 is cube root of (x+14)/5