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Popular >

inverse of f(x)=2sin(x+1)

Solution

inverse

f (x) = 2 sin (x + 1)

Solution

arcsin (\frac{x}{2}) - 1

Solution steps

Solve for

sin (x + 1), y = 2 sin (x + 1)

sin (x + 1) = \frac{y}{2}

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

x + 1 = arcsin (\frac{y}{2})

Solve for

x, x + 1 = arcsin (\frac{y}{2})

arcsin (\frac{y}{2}) - 1

Substitute

y = x

arcsin (\frac{x}{2}) - 1

Popular Examples

intercepts of f(x)=x^3-2x^2-4x+8 intercepts

f (x) = x^{3} - 2 x^{2} - 4 x + 8

range of f(x)=-5x^2 range

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

slope ofintercept-4x+2y=2 slope intercept

- 4 x + 2 y = 2

inverse of (e^{2x}-1)/(e^{2x)+1}inverse

\frac{e ^{2 x} - 1}{e ^{2 x} + 1}

domain of 9/(x^2-1)domain

\frac{9}{x ^{2} - 1}

Frequently Asked Questions (FAQ)

What is the inverse of f(x)=2sin(x+1) ?
The inverse of f(x)=2sin(x+1) is arcsin(x/2)-1