What is the inverse of f(x)=11x^2-7 ?

The inverse of f(x)=11x^2-7 is sqrt((x+7)/(11)),-sqrt((x+7)/(11))

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inverse of f(x)=11x^2-7

inverse

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

\frac{x + 7}{11}, - \frac{x + 7}{11}

Solution steps

y = 11 x^{2} - 7

Replace

x

with

y

x = 11 y^{2} - 7

Solve for

y, x = 11 y^{2} - 7

\frac{x + 7}{11}, - \frac{x + 7}{11}

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

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

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

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

What is the inverse of f(x)=11x^2-7 ?
The inverse of f(x)=11x^2-7 is sqrt((x+7)/(11)),-sqrt((x+7)/(11))