What is the inverse of f(x)=(x-5)^2+2 ?

The inverse of f(x)=(x-5)^2+2 is sqrt(x-2)+5,-sqrt(x-2)+5

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inverse of f(x)=(x-5)^2+2

inverse

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

x - 2 + 5, - x - 2 + 5

Solution steps

y = (x - 5)^{2} + 2

Replace

x

with

y

x = (y - 5)^{2} + 2

Solve for

y, x = (y - 5)^{2} + 2

x - 2 + 5, - x - 2 + 5

f (x) = \frac{5 - x}{x ^{2} - 9}

f (x) = x^{\frac{1}{3}} (x - 4)

\frac{7}{x + 5}

a^{x}

y = x + 1

What is the inverse of f(x)=(x-5)^2+2 ?
The inverse of f(x)=(x-5)^2+2 is sqrt(x-2)+5,-sqrt(x-2)+5