What is the inverse of f(x)=900-4x^2 ?

The inverse of f(x)=900-4x^2 is sqrt(-(x-900)/4),-sqrt(-(x-900)/4)

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inverse of f(x)=900-4x^2

inverse

f (x) = 900 - 4 x^{2}

- \frac{x - 900}{4}, - - \frac{x - 900}{4}

Solution steps

y = 900 - 4 x^{2}

Replace

x

with

y

x = 900 - 4 y^{2}

Solve for

y, x = 900 - 4 y^{2}

- \frac{x - 900}{4}, - - \frac{x - 900}{4}

f (x) = (16 - x^{2})

- x

f (x) = 3 x^{2} + 6 x + 5

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

y = \frac{3}{4} x

What is the inverse of f(x)=900-4x^2 ?
The inverse of f(x)=900-4x^2 is sqrt(-(x-900)/4),-sqrt(-(x-900)/4)