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Popular >

inverse of f(x)=sin(5x-3)

Solution

inverse

f (x) = sin (5 x - 3)

Solution

\frac{arcsin ( x ) + 3}{5}

Solution steps

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

5 x - 3 = arcsin (y)

Solve for

x, 5 x - 3 = arcsin (y)

\frac{arcsin ( y ) + 3}{5}

Substitute

y = x

\frac{arcsin ( x ) + 3}{5}

Popular Examples

domain of y=x^2-2x-3 domain

y = x^{2} - 2 x - 3

inverse of x/4+1 inverse

\frac{x}{4} + 1

range of f(x)=2-sqrt(x+4)range

f (x) = 2 - x + 4

critical f(x)=4xe^{5x}critical points

f (x) = 4 x e^{5 x}

inflection ln(x-5)inflection points

ln (x - 5)

Frequently Asked Questions (FAQ)

What is the inverse of f(x)=sin(5x-3) ?
The inverse of f(x)=sin(5x-3) is (arcsin(x)+3)/5