What is the inverse of f(x)=(14x-13)^2 ?

The inverse of f(x)=(14x-13)^2 is (sqrt(x)+13)/(14),(-sqrt(x)+13)/(14)

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inverse of f(x)=(14x-13)^2

inverse

f (x) = (14 x - 13)^{2}

\frac{x + 13}{14}, \frac{- x + 13}{14}

Solution steps

y = (14 x - 13)^{2}

Replace

x

with

y

x = (14 y - 13)^{2}

Solve for

y, x = (14 y - 13)^{2}

\frac{x + 13}{14}, \frac{- x + 13}{14}

y = - x^{2} + 2 x + 2

\frac{2 x + 3}{7 x - 8}

- \frac{1}{x ^{2}}

f (x) = - lo g_{10} (x + 3) - 4

f (x) = \frac{5}{x + 7}

What is the inverse of f(x)=(14x-13)^2 ?
The inverse of f(x)=(14x-13)^2 is (sqrt(x)+13)/(14),(-sqrt(x)+13)/(14)