What is the inverse of f(x)=3sqrt(x-8)+4 ?

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

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inverse of f(x)=3sqrt(x-8)+4

inverse

f (x) = 3 x - 8 + 4

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

Solution steps

y = 3 x - 8 + 4

Replace

x

with

y

x = 3 y - 8 + 4

Solve for

y, x = 3 y - 8 + 4

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

f (x) = x - 3 + 6

f (x) = - ln (x - 1)

(x^{3} + 1)^{4}

\frac{6 x - 7}{9 x + 6}

\frac{x + 3}{x + 6}

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