What is the inverse of f(x)=(x+5)^2+3 ?

The inverse of f(x)=(x+5)^2+3 is sqrt(x-3)-5,-sqrt(x-3)-5

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inverse of f(x)=(x+5)^2+3

inverse

f (x) = (x + 5)^{2} + 3

x - 3 - 5, - x - 3 - 5

Solution steps

y = (x + 5)^{2} + 3

Replace

x

with

y

x = (y + 5)^{2} + 3

Solve for

y, x = (y + 5)^{2} + 3

x - 3 - 5, - x - 3 - 5

f (x) = \frac{1}{4} x^{2} - 3 x - 7

f (x) = 6 - 3 x

y = - x + 3

f (x) = 49 x^{2}

- 1 + \frac{2}{( x + 4 ) ^{2}}

What is the inverse of f(x)=(x+5)^2+3 ?
The inverse of f(x)=(x+5)^2+3 is sqrt(x-3)-5,-sqrt(x-3)-5