determine the inverse of a) y = arcsin &#x2061;<!-- ⁡ --> ( <mstyle dis

flightwingsd2

flightwingsd2

Answered question

2022-06-22

determine the inverse of
a) y = arcsin ( x x 1 )
b) y = 1 2 e x 4

Answer & Explanation

Nola Rivera

Nola Rivera

Beginner2022-06-23Added 21 answers

sin y = x x 1
x sin y sin y = x
x ( sin y 1 ) = sin y
x = sin y sin y 1
For the second
2 y + 1 2 = e x
0.5 2 y = e x
take the log
log ( 0.5 2 y ) = x
x = log ( 0.5 2 y )
x = log ( 1 0.5 2 y )
Lydia Carey

Lydia Carey

Beginner2022-06-24Added 9 answers

a)
sin y = x x 1 x sin y sin y = x ( sin y 1 ) x = sin y x = sin y sin y 1
So the inverse function is x sin x sin x 1
And for b) is similar.

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