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Popular Functions >

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}

Graph

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midpoint (2,4),(-4,-2)

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