What is the inverse of f(x)=(3x^2)/4 ?

The inverse of f(x)=(3x^2)/4 is (2sqrt(3)sqrt(x))/3 ,-(2sqrt(3)sqrt(x))/3

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inverse of f(x)=(3x^2)/4

inverse

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

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

Solution steps

y = \frac{3 x ^{2}}{4}

Replace

x

with

y

x = \frac{3 y ^{2}}{4}

Solve for

y, x = \frac{3 y ^{2}}{4}

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

f (x) = \frac{3 x}{2 - 5 x}

f (x) = \frac{x}{8 - 3 x}

y = 5^{x} + 3

f (x) = 5 x + 20

\frac{2 x + 1}{3 x}

What is the inverse of f(x)=(3x^2)/4 ?
The inverse of f(x)=(3x^2)/4 is (2sqrt(3)sqrt(x))/3 ,-(2sqrt(3)sqrt(x))/3