What is the inverse of f(x)=tan((3.14x)/2)+3 ?

The inverse of f(x)=tan((3.14x)/2)+3 is 0.63694…arctan(x-3)

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inverse of f(x)=tan((3.14x)/2)+3

inverse

f (x) = tan (\frac{3.14 x}{2}) + 3

0.63694 \dots arctan (x - 3)

Solution steps

Solve for

tan (\frac{3.14 x}{2}), y = tan (\frac{3.14 x}{2}) + 3

tan (\frac{3.14 x}{2}) = y - 3

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

\frac{3.14 x}{2} = arctan (y - 3)

Solve for

x, \frac{3.14 x}{2} = arctan (y - 3)

0.63694 \dots arctan (y - 3)

Substitute

y = x

0.63694 \dots arctan (x - 3)

f (x) = f (x) = 2 x^{5} + 7

\frac{x - 3}{x + 5}

15 n^{2} \cdot 10 n^{3}

f (x) = 9 \cdot 6^{2 x}

y = \frac{e ^{x + 8}}{2}

What is the inverse of f(x)=tan((3.14x)/2)+3 ?
The inverse of f(x)=tan((3.14x)/2)+3 is 0.63694…arctan(x-3)