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Popular >

inverse of f(x)=arctan(5x)

Solution

inverse

f (x) = arctan (5 x)

Solution

\frac{tan ( x )}{5}

Solution steps

arctan (a) = b \Rightarrow a = tan (b)

5 x = tan (y)

Solve for

x, 5 x = tan (y)

\frac{tan ( y )}{5}

Substitute

y = x

\frac{tan ( x )}{5}

Popular Examples

extreme f(x)=3x^4+4x^3 extreme points

f (x) = 3 x^{4} + 4 x^{3}

inverse of y=-2(x-12.5)+5 inverse

y = - 2 (x - 12.5) + 5

domain of x^2-10 domain

x^{2} - 10

domain of f(x)=3 domain

f (x) = 3

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

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

Frequently Asked Questions (FAQ)

What is the inverse of f(x)=arctan(5x) ?
The inverse of f(x)=arctan(5x) is (tan(x))/5