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Popular >

inverse of f(x)=arccos(e^x)

Solution

inverse

f (x) = arccos (e^{x})

Solution

ln (cos (x))

Solution steps

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

e^{x} = cos (y)

Solve for

x, e^{x} = cos (y)

ln (cos (y))

Substitute

y = x

ln (cos (x))

Popular Examples

extreme f(x)=(x^2-2x-3)/x extreme points

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

range of f(x)=2^{x+1}-3 range

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

slope ofintercept 3/5 slope intercept

\frac{3}{5}

asymptotes of f(x)=2(3)^x asymptotes

f (x) = 2 (3)^{x}

midpoint (-5/2 , 3/2),(-11/2 ,-15/2)midpoint

(- \frac{5}{2}, \frac{3}{2}), (- \frac{11}{2}, - \frac{15}{2})

Frequently Asked Questions (FAQ)

What is the inverse of f(x)=arccos(e^x) ?
The inverse of f(x)=arccos(e^x) is ln(cos(x))