What is the inverse of f(x)=((3))/((x^3+2)) ?

The inverse of f(x)=((3))/((x^3+2)) is cube root of (3-2x)/x

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inverse of f(x)=((3))/((x^3+2))

inverse

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

3 \frac{3 - 2 x}{x}

Solution steps

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

Replace

x

with

y

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

Solve for

y, x = \frac{3}{y ^{3} + 2}

3 \frac{3 - 2 x}{x}

\frac{x + 1}{2 ( x - 1 )}

f (x) = - 11 x - 3

f (x) = - 3 n + 2

10 x - 5

f (x) = 3 e^{x + 4} - 7

What is the inverse of f(x)=((3))/((x^3+2)) ?
The inverse of f(x)=((3))/((x^3+2)) is cube root of (3-2x)/x