What is the inverse of f(x)= pi/2+sin(x) ?

The inverse of f(x)= pi/2+sin(x) is arcsin(x-pi/2)

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inverse of f(x)= pi/2+sin(x)

inverse

f (x) = \frac{π}{2} + sin (x)

arcsin (x - \frac{π}{2})

Solution steps

Solve for

sin (x), y = \frac{π}{2} + sin (x)

sin (x) = y - \frac{π}{2}

sin (a) = b \Rightarrow a = arcsin (b)

arcsin (y - \frac{π}{2})

Substitute

y = x

arcsin (x - \frac{π}{2})

f (x) = \frac{7}{x + 2}

(1, 11), (13, - 5)

f (x) = \frac{5 x + 25}{2 x + 7}

y = 4 x - 6

(3, 3), (0, 1)

What is the inverse of f(x)= pi/2+sin(x) ?
The inverse of f(x)= pi/2+sin(x) is arcsin(x-pi/2)