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Popular >

inverse of f(x)=-2cos(3x)

Solution

inverse

f (x) = - 2 cos (3 x)

Solution

\frac{arccos ( - \frac{x}{2} )}{3}

Solution steps

Solve for

cos (3 x), y = - 2 cos (3 x)

cos (3 x) = - \frac{y}{2}

cos (a) = b \Rightarrow a = arccos (b)

3 x = arccos (- \frac{y}{2})

Solve for

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

\frac{arccos ( - \frac{y}{2} )}{3}

Substitute

y = x

\frac{arccos ( - \frac{x}{2} )}{3}

Popular Examples

asymptotes of f(x)=(x^2+7x+8)/(x+3)asymptotes

f (x) = \frac{x ^{2} + 7 x + 8}{x + 3}

periodicity of f(x)=cos((23pi)/6)periodicity

f (x) = cos (\frac{23 π}{6})

slope of 6y-3x=-24 slope

6 y - 3 x = - 24

domain of f(x)= 1/(sqrt(5-x))domain

f (x) = \frac{1}{5 - x}

asymptotes of f(x)=(x^2+3x+2)/(x-1)asymptotes

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

Frequently Asked Questions (FAQ)

What is the inverse of f(x)=-2cos(3x) ?
The inverse of f(x)=-2cos(3x) is (arccos(-x/2))/3