What is the inverse of f(x)=-3sqrt((4x-7)/3) ?

The inverse of f(x)=-3sqrt((4x-7)/3) is (x^2+21)/(12)

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inverse of f(x)=-3sqrt((4x-7)/3)

inverse

f (x) = - 3 \frac{4 x - 7}{3}

\frac{x ^{2} + 21}{12}

Solution steps

y = - 3 \frac{4 x - 7}{3}

Replace

x

with

y

x = - 3 \frac{4 y - 7}{3}

Solve for

y, x = - 3 \frac{4 y - 7}{3}

\frac{x ^{2} + 21}{12}

f (x) = \frac{2 x - 3}{5 x + 1}

f (x) = \frac{6}{x + 9}

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

sin (2)

f (x) = \frac{1 - x}{9 - 12 x}

What is the inverse of f(x)=-3sqrt((4x-7)/3) ?
The inverse of f(x)=-3sqrt((4x-7)/3) is (x^2+21)/(12)