What is the inverse of f(x)=(x-2)^2-7 ?

The inverse of f(x)=(x-2)^2-7 is sqrt(x+7)+2,-sqrt(x+7)+2

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inverse of f(x)=(x-2)^2-7

inverse

f (x) = (x - 2)^{2} - 7

x + 7 + 2, - x + 7 + 2

Solution steps

y = (x - 2)^{2} - 7

Replace

x

with

y

x = (y - 2)^{2} - 7

Solve for

y, x = (y - 2)^{2} - 7

x + 7 + 2, - x + 7 + 2

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

f (x) = x^{3} - 3 x + 8

f (x) = cos^{2} (x)

f (x) = 4 x - x^{2}

ln (x + 5)

What is the inverse of f(x)=(x-2)^2-7 ?
The inverse of f(x)=(x-2)^2-7 is sqrt(x+7)+2,-sqrt(x+7)+2