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Popular >

inverse of f(x)=-5cos(6x)

Solution

inverse

f (x) = - 5 cos (6 x)

Solution

\frac{arccos ( - \frac{x}{5} )}{6}

Solution steps

Solve for

cos (6 x), y = - 5 cos (6 x)

cos (6 x) = - \frac{y}{5}

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

6 x = arccos (- \frac{y}{5})

Solve for

x, 6 x = arccos (- \frac{y}{5})

\frac{arccos ( - \frac{y}{5} )}{6}

Substitute

y = x

\frac{arccos ( - \frac{x}{5} )}{6}

Popular Examples

extreme f(x)=-4t^2+6t-1 extreme points

f (x) = - 4 t^{2} + 6 t - 1

domain of 1/(sqrt(12-t))domain

\frac{1}{12 - t}

range of 1/4 tan(1/8 x)-2 range

\frac{1}{4} tan (\frac{1}{8} x) - 2

asymptotes of f(x)=(x-2)/((x+2)(x-2))asymptotes

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

extreme f(x)=sqrt(x^2-8x+20)extreme points

f (x) = x^{2} - 8 x + 20

Frequently Asked Questions (FAQ)

What is the inverse of f(x)=-5cos(6x) ?
The inverse of f(x)=-5cos(6x) is (arccos(-x/5))/6