What is the inverse of f(x)=arcsin(x)+pi/4 ?

The inverse of f(x)=arcsin(x)+pi/4 is sin(x-pi/4)

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inverse of f(x)=arcsin(x)+pi/4

inverse

f (x) = arcsin (x) + \frac{π}{4}

sin (x - \frac{π}{4})

Solution steps

Solve for

arcsin (x), y = arcsin (x) + \frac{π}{4}

arcsin (x) = y - \frac{π}{4}

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

sin (y - \frac{π}{4})

Substitute

y = x

sin (x - \frac{π}{4})

h (x) = 200 + 4 (6)

f (x) = 3 x^{5} - 4

- 3 x^{11} + 8

f (x) = \frac{6 x + 8}{7}

y = 3^{3}

What is the inverse of f(x)=arcsin(x)+pi/4 ?
The inverse of f(x)=arcsin(x)+pi/4 is sin(x-pi/4)