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Popular >

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

Solution

inverse

f (x) = 3 sin (2 x)

Solution

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

Solution steps

Solve for

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

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

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

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

Solve for

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

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

Substitute

y = x

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

Popular Examples

critical (x^2)/(x^2-81)critical points

\frac{x ^{2}}{x ^{2} - 81}

extreme f(x)=x^2e^x extreme points

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

extreme f(x)=-x^3+6x^2 extreme points

f (x) = - x^{3} + 6 x^{2}

domain of f(x)=sqrt(3x-24)domain

f (x) = 3 x - 24

parity f(x)=sqrt(1/(2x^{3x-1))}parity

f (x) = \frac{1}{2 x ^{3 x - 1}}

Frequently Asked Questions (FAQ)

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