What is the inverse of f(x)= 2/3 sqrt(x-1)+12 ?

The inverse of f(x)= 2/3 sqrt(x-1)+12 is -54x+(9x^2)/4+325

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inverse of f(x)= 2/3 sqrt(x-1)+12

inverse

f (x) = \frac{2}{3} x - 1 + 12

- 54 x + \frac{9 x ^{2}}{4} + 325

Solution steps

y = \frac{2}{3} x - 1 + 12

Replace

x

with

y

x = \frac{2}{3} y - 1 + 12

Solve for

y, x = \frac{2}{3} y - 1 + 12

- 54 x + \frac{9 x ^{2}}{4} + 325

x + 3 - 5

f (x) = 5 x^{2} - 10 x + 7

y = \frac{b x + 3}{3 x - 7}

f (x) = lo g_{10} (7 x)

f (x) = \frac{x ^{\frac{1}{3}}}{5} + 7

What is the inverse of f(x)= 2/3 sqrt(x-1)+12 ?
The inverse of f(x)= 2/3 sqrt(x-1)+12 is -54x+(9x^2)/4+325