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Popular >

inverse of f(x)=3tan(9x)

Solution

inverse

f (x) = 3 tan (9 x)

Solution

\frac{arctan ( \frac{x}{3} )}{9}

Solution steps

Solve for

tan (9 x), y = 3 tan (9 x)

tan (9 x) = \frac{y}{3}

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

9 x = arctan (\frac{y}{3})

Solve for

x, 9 x = arctan (\frac{y}{3})

\frac{arctan ( \frac{y}{3} )}{9}

Substitute

y = x

\frac{arctan ( \frac{x}{3} )}{9}

Popular Examples

range of f(x)=x^2-3 range

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

domain of f(x)=log_{5}(sqrt(5x-6))domain

f (x) = lo g_{5} (5 x - 6)

slope ofintercept y=3x+5 slope intercept

y = 3 x + 5

midpoint (5,-5),(-3,-3)midpoint

(5, - 5), (- 3, - 3)

symmetry-4x^2+6x+1 symmetry

- 4 x^{2} + 6 x + 1

Frequently Asked Questions (FAQ)

What is the inverse of f(x)=3tan(9x) ?
The inverse of f(x)=3tan(9x) is (arctan(x/3))/9