What is the inverse of f(x)=5x^2-8 ?

The inverse of f(x)=5x^2-8 is sqrt((x+8)/5),-sqrt((x+8)/5)

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inverse of f(x)=5x^2-8

inverse

f (x) = 5 x^{2} - 8

\frac{x + 8}{5}, - \frac{x + 8}{5}

Solution steps

y = 5 x^{2} - 8

Replace

x

with

y

x = 5 y^{2} - 8

Solve for

y, x = 5 y^{2} - 8

\frac{x + 8}{5}, - \frac{x + 8}{5}

2^{x - 4}

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

y = 2 x - 9

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

(- 4, - 6), (3, - 6)

What is the inverse of f(x)=5x^2-8 ?
The inverse of f(x)=5x^2-8 is sqrt((x+8)/5),-sqrt((x+8)/5)