What is the inverse of f(x)=x(x-7) ?

The inverse of f(x)=x(x-7) is (7+sqrt(49+4x))/2 ,(7-sqrt(49+4x))/2

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inverse of f(x)=x(x-7)

inverse

f (x) = x (x - 7)

\frac{7 + 49 + 4 x}{2}, \frac{7 - 49 + 4 x}{2}

Solution steps

y = x (x - 7)

Replace

x

with

y

x = y (y - 7)

Solve for

y, x = y (y - 7)

\frac{7 + 49 + 4 x}{2}, \frac{7 - 49 + 4 x}{2}

f (x) = 200 + x

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

f (x) = sinh^{2} (\frac{x}{x ^{4}})

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

\frac{3 x}{6}

What is the inverse of f(x)=x(x-7) ?
The inverse of f(x)=x(x-7) is (7+sqrt(49+4x))/2 ,(7-sqrt(49+4x))/2