What is the inverse of f(x)=15sin(x)+11 ?

The inverse of f(x)=15sin(x)+11 is arcsin((x-11)/(15))

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inverse of f(x)=15sin(x)+11

inverse

f (x) = 15 sin (x) + 11

arcsin (\frac{x - 11}{15})

Solution steps

Solve for

sin (x), y = 15 sin (x) + 11

sin (x) = \frac{y - 11}{15}

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

arcsin (\frac{y - 11}{15})

Substitute

y = x

arcsin (\frac{x - 11}{15})

What is the inverse of f(x)=15sin(x)+11 ?
The inverse of f(x)=15sin(x)+11 is arcsin((x-11)/(15))