What is the inverse of f(x)=-3sqrt(2x-1)-4 ?

The inverse of f(x)=-3sqrt(2x-1)-4 is (x^2+8x+25)/(18)

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inverse of f(x)=-3sqrt(2x-1)-4

inverse

f (x) = - 3 2 x - 1 - 4

\frac{x ^{2} + 8 x + 25}{18}

Solution steps

y = - 3 2 x - 1 - 4

Replace

x

with

y

x = - 3 2 y - 1 - 4

Solve for

y, x = - 3 2 y - 1 - 4

\frac{x ^{2} + 8 x + 25}{18}

f (x) = - \frac{4}{3} x + 8

f (4) = 6 - 5 x

51 + x

f (x) = \frac{2 x + 3}{5 x - 7}

What is the inverse of f(x)=-3sqrt(2x-1)-4 ?
The inverse of f(x)=-3sqrt(2x-1)-4 is (x^2+8x+25)/(18)