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

The inverse of f(x)=3sqrt(x-1)-4 is (x^2+8x+16)/9+1

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

inverse

f (x) = 3 x - 1 - 4

\frac{x ^{2} + 8 x + 16}{9} + 1

Solution steps

y = 3 x - 1 - 4

Replace

x

with

y

x = 3 y - 1 - 4

Solve for

y, x = 3 y - 1 - 4

\frac{x ^{2} + 8 x + 16}{9} + 1

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

sinh (2 y)

X

cos (\frac{0.1025}{0.21875})

f (x) = 6 x - \frac{2}{x}

What is the inverse of f(x)=3sqrt(x-1)-4 ?
The inverse of f(x)=3sqrt(x-1)-4 is (x^2+8x+16)/9+1