What is the inverse of f(x)=((x+7))/(sqrt(x)) ?

The inverse of f(x)=((x+7))/(sqrt(x)) is (-14+x^2+xsqrt(x^2-28))/2 ,(-14+x^2-xsqrt(x^2-28))/2

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inverse of f(x)=((x+7))/(sqrt(x))

inverse

f (x) = \frac{( x + 7 )}{x}

\frac{- 14 + x ^{2} + x x ^{2} - 28}{2}, \frac{- 14 + x ^{2} - x x ^{2} - 28}{2}

Solution steps

y = \frac{x + 7}{x}

Replace

x

with

y

x = \frac{y + 7}{y}

Solve for

y, x = \frac{y + 7}{y}

\frac{- 14 + x ^{2} + x x ^{2} - 28}{2}, \frac{- 14 + x ^{2} - x x ^{2} - 28}{2}

3 lo g_{10} (x - 1)

2 (3.1)

f (x) = \frac{3 x ^{2} - 4 x + 5}{x - 3}

f (x) = 18 - x

What is the inverse of f(x)=((x+7))/(sqrt(x)) ?
The inverse of f(x)=((x+7))/(sqrt(x)) is (-14+x^2+xsqrt(x^2-28))/2 ,(-14+x^2-xsqrt(x^2-28))/2