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Popular >

inverse of y=sqrt(sin(6x))

Solution

inverse

y = sin (6 x)

Solution

\frac{arcsin ( x ^{2} )}{6}

Solution steps

Solve for

sin (6 x), y = sin (6 x)

sin (6 x) = y^{2}

sin (a) = b \Rightarrow a = arcsin (b)

6 x = arcsin (y^{2})

Solve for

x, 6 x = arcsin (y^{2})

\frac{arcsin ( y ^{2} )}{6}

Substitute

y = x

\frac{arcsin ( x ^{2} )}{6}

Popular Examples

inverse of f(x)=3x+11 inverse

f (x) = 3 x + 11

inverse of f(x)=3x+18 inverse

f (x) = 3 x + 18

inverse of cos(-5/(6sqrt(7)))inverse

cos (- \frac{5}{6 7})

inverse of f(x)=-(ln(1-x))inverse

f (x) = - (ln (1 - x))

inverse of f(x)=8x^2-27,[0,infinity ]inverse

f (x) = 8 x^{2} - 27, [0, \infty]

Frequently Asked Questions (FAQ)

What is the inverse of y=sqrt(sin(6x)) ?
The inverse of y=sqrt(sin(6x)) is (arcsin(x^2))/6