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The function f: C -> C defined by f(x) =...

The function `f: C -> C` defined by `f(x) = (ax+b)/(cx+d)` for `x in C` where `bd != 0` reduces to a constant function if

A

a = c

B

b = d

C

ad = bc

D

ab = cd

Text Solution

Verified by Experts

The correct Answer is:
C
Given, `f(x)=(ax+b)/(cx+d)`
It reduces to a constant function, if
`(a)/( c )=(b)/(a)impliesad=bc`
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MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-SETS, RELATIONS AND FUNCTIONS-Exercise 2 (MISCELLANEOUS PROBLEMS)
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  16. If f(x)=(2x-1)/(x+5),xne-5, then f^(-1)(x) is equal to

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