What is the inverse of f(x)=-2sqrt(x+11)+12 ?

The inverse of f(x)=-2sqrt(x+11)+12 is -6x+(x^2)/4+25

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inverse of f(x)=-2sqrt(x+11)+12

inverse

f (x) = - 2 x + 11 + 12

- 6 x + \frac{x ^{2}}{4} + 25

Solution steps

y = - 2 x + 11 + 12

Replace

x

with

y

x = - 2 y + 11 + 12

Solve for

y, x = - 2 y + 11 + 12

- 6 x + \frac{x ^{2}}{4} + 25

y = \frac{5}{3 ( x + 2 )} - 8

f (x) = e^{- \frac{x ^{2}}{2}}

f (x) = 9 x^{2} - 3

f (x) = e^{2 x} + 5

f (x) = - 7 cos (2 x), 0 \leq x \leq \frac{π}{2}

What is the inverse of f(x)=-2sqrt(x+11)+12 ?
The inverse of f(x)=-2sqrt(x+11)+12 is -6x+(x^2)/4+25