What is the inverse of (x^2-16)/(5x^2) ?

The inverse of (x^2-16)/(5x^2) is sqrt(-(16)/(5x-1)),-sqrt(-(16)/(5x-1))

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inverse of (x^2-16)/(5x^2)

inverse

\frac{x ^{2} - 16}{5 x ^{2}}

- \frac{16}{5 x - 1}, - - \frac{16}{5 x - 1}

Solution steps

y = \frac{x ^{2} - 16}{5 x ^{2}}

Replace

x

with

y

x = \frac{y ^{2} - 16}{5 y ^{2}}

Solve for

y, x = \frac{y ^{2} - 16}{5 y ^{2}}

- \frac{16}{5 x - 1}, - - \frac{16}{5 x - 1}

7 x - 21

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

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

f (x) = \frac{- 5 x - 2}{7}

What is the inverse of (x^2-16)/(5x^2) ?
The inverse of (x^2-16)/(5x^2) is sqrt(-(16)/(5x-1)),-sqrt(-(16)/(5x-1))