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Popular >

inverse of f(x)=5sin(x)-3

Solution

inverse

f (x) = 5 sin (x) - 3

Solution

arcsin (\frac{x + 3}{5})

Solution steps

Solve for

sin (x), y = 5 sin (x) - 3

sin (x) = \frac{y + 3}{5}

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

arcsin (\frac{y + 3}{5})

Substitute

y = x

arcsin (\frac{x + 3}{5})

Graph

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Frequently Asked Questions (FAQ)

What is the inverse of f(x)=5sin(x)-3 ?
The inverse of f(x)=5sin(x)-3 is arcsin((x+3)/5)