What is the inverse of f(x)=(6x-1)^2 ?

The inverse of f(x)=(6x-1)^2 is (sqrt(x)+1)/6 ,(-sqrt(x)+1)/6

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inverse of f(x)=(6x-1)^2

inverse

f (x) = (6 x - 1)^{2}

\frac{x + 1}{6}, \frac{- x + 1}{6}

Solution steps

y = (6 x - 1)^{2}

Replace

x

with

y

x = (6 y - 1)^{2}

Solve for

y, x = (6 y - 1)^{2}

\frac{x + 1}{6}, \frac{- x + 1}{6}

f (x) = 30 x^{2} - 15 x + ln (10)

f (x) = 5 x^{5} + 2

lo g_{3} (3)

3 (x - 4)^{2} + 5

1 - 2^{x}

What is the inverse of f(x)=(6x-1)^2 ?
The inverse of f(x)=(6x-1)^2 is (sqrt(x)+1)/6 ,(-sqrt(x)+1)/6