What is the inverse of f(x)=5x^{(3)}-3 ?

The inverse of f(x)=5x^{(3)}-3 is cube root of (x+3)/5

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inverse of f(x)=5x^{(3)}-3

inverse

f (x) = 5 x^{(3)} - 3

3 \frac{x + 3}{5}

Solution steps

y = 5 x^{3} - 3

Replace

x

with

y

x = 5 y^{3} - 3

Solve for

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

3 \frac{x + 3}{5}

- 4 lo g_{10} (- \frac{1}{3} (x + 2)) + 1

x^{2} - 3 x - 10

f (x) = - (x - 1) - 1

- x^{2} - 2 x

y = - 2 \cdot (\frac{1}{3})^{x}

What is the inverse of f(x)=5x^{(3)}-3 ?
The inverse of f(x)=5x^{(3)}-3 is cube root of (x+3)/5