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The inverse of y=(2x+1)/(3-x)is...

The inverse of y`=(2x+1)/(3-x)`is

A

`y=(-2x-1)/(x-3)`

B

`y=(3-x)/(2x+1)`

C

`y=(3x+1)/(x-2)`

D

`y=(3x-1)/(x+2)`

Text Solution

Verified by Experts

The correct Answer is:
D
Interchange x and y, and solve for y:
`x=(2y+1)/(3-y)`
`3x-xy=2y+1`
`3x-1=2y+xy`
`y(2+x)=3x-1`
`y=(3x-1)/(x+2)` [1]
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ENGLISH SAT-MODEL TEST 4-MCQ
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  13. If 2 is a root of the equation x^4+2x^3-3x^2+kx-4=0 , then k=

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  16. If sec 1.4=x, find the value of csc(2tan^(-1)x).

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  18. For what value of x between 0^(@) and 360^(@) does cos 2x=2cos x?

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