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Popular >

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

Solution

inverse

f (x) = 2 sin (x)

Solution

arcsin (\frac{x}{2})

Solution steps

Solve for

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

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

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

arcsin (\frac{y}{2})

Substitute

y = x

arcsin (\frac{x}{2})

Popular Examples

domain of cos(2x+5)domain

cos (2 x + 5)

intercepts of y=sqrt(x-3)intercepts

y = x - 3

extreme f(x)=-2x^2(x+4)(x-4)extreme points

f (x) = - 2 x^{2} (x + 4) (x - 4)

shift 5sin(3x-pi/2)shift

5 sin (3 x - \frac{π}{2})

domain of (x^3)/(x^2-9)domain

\frac{x ^{3}}{x ^{2} - 9}

Frequently Asked Questions (FAQ)

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