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

The inverse of f(x)=x^{3/5}+3 is cube root of x^5-15x^4+90x^3-270x^2+405x-243

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

inverse

f (x) = x^{\frac{3}{5}} + 3

3 x^{5} - 15 x^{4} + 90 x^{3} - 270 x^{2} + 405 x - 243

Solution steps

y = x^{\frac{3}{5}} + 3

Replace

x

with

y

x = y^{\frac{3}{5}} + 3

Solve for

y, x = y^{\frac{3}{5}} + 3

3 x^{5} - 15 x^{4} + 90 x^{3} - 270 x^{2} + 405 x - 243

f (x) = 8 - 9 x^{3}

\frac{3}{s ^{2} + 1}

f (x) = \frac{4 x}{2 x - 3}

f (x) = \frac{( 4 x + 2 )}{x - 3}

f (x) = 5 x^{2} + 5

What is the inverse of f(x)=x^{3/5}+3 ?
The inverse of f(x)=x^{3/5}+3 is cube root of x^5-15x^4+90x^3-270x^2+405x-243