What is the inverse of f(x)=5x^2-6 ?

The inverse of f(x)=5x^2-6 is sqrt((x+6)/5),-sqrt((x+6)/5)

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inverse of f(x)=5x^2-6

inverse

f (x) = 5 x^{2} - 6

\frac{x + 6}{5}, - \frac{x + 6}{5}

Solution steps

y = 5 x^{2} - 6

Replace

x

with

y

x = 5 y^{2} - 6

Solve for

y, x = 5 y^{2} - 6

\frac{x + 6}{5}, - \frac{x + 6}{5}

\frac{8}{x + 7}

h (x) = - 3 (x + 4)^{2} - 1

\frac{- 3 + 4 x - 3}{2}

\frac{6 x - 6}{6 x + 1}

f (x) = \frac{9 x}{x - 2}

What is the inverse of f(x)=5x^2-6 ?
The inverse of f(x)=5x^2-6 is sqrt((x+6)/5),-sqrt((x+6)/5)