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

The inverse of f(x)=(sqrt(3x+2))/4 is (16x^2-2)/3

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inverse of f(x)=(sqrt(3x+2))/4

inverse

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

\frac{16 x ^{2} - 2}{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{16 x ^{2} - 2}{3}

f (x) = x^{3} - x^{2} - x + 2

f (x) = - 32 t + 30

f (x) = 2 x^{2} + 1

f (x) = - x^{3} + 3 x^{2}

f (x) = 3 x - 9

What is the inverse of f(x)=(sqrt(3x+2))/4 ?
The inverse of f(x)=(sqrt(3x+2))/4 is (16x^2-2)/3