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Popular Functions >

inverse of f(x)=2sin(3x)

Solution

inverse

f (x) = 2 sin (3 x)

Solution

\frac{arcsin ( \frac{x}{2} )}{3}

Solution steps

Solve for

sin (3 x), y = 2 sin (3 x)

sin (3 x) = \frac{y}{2}

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

3 x = arcsin (\frac{y}{2})

Solve for

x, 3 x = arcsin (\frac{y}{2})

\frac{arcsin ( \frac{y}{2} )}{3}

Substitute

y = x

\frac{arcsin ( \frac{x}{2} )}{3}

Graph

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Frequently Asked Questions (FAQ)

What is the inverse of f(x)=2sin(3x) ?
The inverse of f(x)=2sin(3x) is (arcsin(x/2))/3