What is the inverse of 1/(sqrt(x^2-9x+14)) ?

The inverse of 1/(sqrt(x^2-9x+14)) is (9x+sqrt(25x^2+4))/(2x),(9x-sqrt(25x^2+4))/(2x)

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inverse of 1/(sqrt(x^2-9x+14))

inverse

\frac{1}{x ^{2} - 9 x + 14}

\frac{9 x + 25 x ^{2} + 4}{2 x}, \frac{9 x - 25 x ^{2} + 4}{2 x}

Solution steps

y = \frac{1}{x ^{2} - 9 x + 14}

Replace

x

with

y

x = \frac{1}{y ^{2} - 9 y + 14}

Solve for

y, x = \frac{1}{y ^{2} - 9 y + 14}

\frac{9 x + 25 x ^{2} + 4}{2 x}, \frac{9 x - 25 x ^{2} + 4}{2 x}

f (x) = 90000 + 100000 x

f (x) = - 7

f (x) = - 2 x + 1

\frac{1}{1 + y ^{3}}

f (x) = 2 π r^{2} + 12 π r - A

What is the inverse of 1/(sqrt(x^2-9x+14)) ?
The inverse of 1/(sqrt(x^2-9x+14)) is (9x+sqrt(25x^2+4))/(2x),(9x-sqrt(25x^2+4))/(2x)