What is the inverse of f(x)=11x^2-1 ?

The inverse of f(x)=11x^2-1 is sqrt((x+1)/(11)),-sqrt((x+1)/(11))

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inverse of f(x)=11x^2-1

inverse

f (x) = 11 x^{2} - 1

\frac{x + 1}{11}, - \frac{x + 1}{11}

Solution steps

y = 11 x^{2} - 1

Replace

x

with

y

x = 11 y^{2} - 1

Solve for

y, x = 11 y^{2} - 1

\frac{x + 1}{11}, - \frac{x + 1}{11}

f (x) = 11 x^{2} - 7

4^{\frac{x}{2}}

f (x) = \frac{7 - 3 x}{x}

f (x) = - \frac{1}{2} x^{2} - x + \frac{3}{2}

What is the inverse of f(x)=11x^2-1 ?
The inverse of f(x)=11x^2-1 is sqrt((x+1)/(11)),-sqrt((x+1)/(11))