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) = 3 x 5 - x

f (x) = 2 sin (4 x)

y = - 2 sin (3 x)

f (x) = x (11 - 2 x) (13 - 2 x)

f (x) = e^{x + 1} - 5

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