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

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

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

inverse

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

\frac{4 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{4 x ^{2} - 2}{3}

sin (4 x - 3)

y = 2 x^{2} - 16 x + 24

f (x) = 10 + 2 x - 2

9 + 4 x - 4

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

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