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Popular >

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

Solution

inverse

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

Solution

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

Solution steps

Solve for

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

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

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

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

Substitute

y = x

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

Popular Examples

f (x) = \frac{x}{5}

inverse of f(x)=ln(x)+2 inverse

f (x) = ln (x) + 2

asymptotes of f(x)=(x^2-4)/(x^2-5x+6)asymptotes

f (x) = \frac{x ^{2} - 4}{x ^{2} - 5 x + 6}

critical f(x)=t^{4-20t^3}critical points

f (x) = t^{4 - 20 t^{3}}

inverse of y=(x+3)/4 inverse

y = \frac{x + 3}{4}

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+1)/2)