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

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

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

inverse

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

\frac{x + 3}{5}, - \frac{x + 3}{5}

Solution steps

y = 5 x^{2} - 3

Replace

x

with

y

x = 5 y^{2} - 3

Solve for

y, x = 5 y^{2} - 3

\frac{x + 3}{5}, - \frac{x + 3}{5}

y = 4 x - x^{2}

y = sin (e^{- x})

y = 5 x^{2} + 10

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

(2, - 1), (8, - 1)

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