What is the inverse of sqrt(x+10)-sqrt(x) ?

The inverse of sqrt(x+10)-sqrt(x) is (x^4-20x^2+100)/(4x^2)

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inverse of sqrt(x+10)-sqrt(x)

inverse

x + 10 - x

\frac{x ^{4} - 20 x ^{2} + 100}{4 x ^{2}}

Solution steps

y = x + 10 - x

Replace

x

with

y

x = y + 10 - y

Solve for

y, x = y + 10 - y

\frac{x ^{4} - 20 x ^{2} + 100}{4 x ^{2}}

\frac{3 e ^{x} + 1}{9 e ^{x} - 1}

f (x) = \frac{50 x + 1000}{x}

f (x) = \frac{1 - 3 ^{2 x}}{9 ^{x} - 3}

- 2 x^{2} + 24 x

What is the inverse of sqrt(x+10)-sqrt(x) ?
The inverse of sqrt(x+10)-sqrt(x) is (x^4-20x^2+100)/(4x^2)