What is the inverse of f(x)=5x^2-12 ?

The inverse of f(x)=5x^2-12 is sqrt((x+12)/5),-sqrt((x+12)/5)

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inverse of f(x)=5x^2-12

inverse

f (x) = 5 x^{2} - 12

\frac{x + 12}{5}, - \frac{x + 12}{5}

Solution steps

y = 5 x^{2} - 12

Replace

x

with

y

x = 5 y^{2} - 12

Solve for

y, x = 5 y^{2} - 12

\frac{x + 12}{5}, - \frac{x + 12}{5}

(- 3.4) (6)

f (x) = \frac{( x ^{2} - 4 )}{( x ^{2} + x - 6 )}

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

f (x) = - 5 x - 6

f (x) = 2 x + 5 x^{\frac{2}{5}}

What is the inverse of f(x)=5x^2-12 ?
The inverse of f(x)=5x^2-12 is sqrt((x+12)/5),-sqrt((x+12)/5)