What is the inverse of f(x)=(arctan(x-3))/pi ?

The inverse of f(x)=(arctan(x-3))/pi is tan(xpi)+3

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inverse of f(x)=(arctan(x-3))/pi

inverse

f (x) = \frac{arctan ( x - 3 )}{π}

tan (x π) + 3

Solution steps

Solve for

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

arctan (x - 3) = y π

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

x - 3 = tan (y π)

Solve for

x, x - 3 = tan (y π)

tan (y π) + 3

Substitute

y = x

tan (x π) + 3

f (x) = arccos (2 - ln (x))

(A^{- 1})^{- 1}

- 8 - 5 x

lo g_{10} (x + 2) + 3

y = - 2 ln (x + 4)

What is the inverse of f(x)=(arctan(x-3))/pi ?
The inverse of f(x)=(arctan(x-3))/pi is tan(xpi)+3