What is the inverse of f(x)=100-x^2 ?

The inverse of f(x)=100-x^2 is sqrt(-x+100),-sqrt(-x+100)

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inverse of f(x)=100-x^2

inverse

f (x) = 100 - x^{2}

- x + 100, - - x + 100

Solution steps

y = 100 - x^{2}

Replace

x

with

y

x = 100 - y^{2}

Solve for

y, x = 100 - y^{2}

- x + 100, - - x + 100

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

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

f (x) = \frac{x - 4}{x + 5}

f (x) = \frac{- 8 x + x ^{2} + 12}{12}

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

What is the inverse of f(x)=100-x^2 ?
The inverse of f(x)=100-x^2 is sqrt(-x+100),-sqrt(-x+100)