The function $f:C ightarrow C$ defined by $f(x) = \frac{ax + b}{cx + d}$ for $x \in C$ where $bd
eq 0$ reduces to a constant function, if

Question

The function $f:C ightarrow C$ defined by $f(x) = \frac{ax + b}{cx + d}$ for $x \in C$ where $bd 
eq 0$ reduces to a constant function, if

Dr. Abubacker · Accepted Answer

(c)
Given, $f(x) = \frac{ax + b}{cx + d}$
It reduces the constant function if
$\ \ \ \ \ \ \ \ \ \ \frac{a}{c} = \frac{b}{d}\  \Rightarrow \ \ \ ad = bc$

Q. The function $f:C \rightarrow C$ defined by $f(x) = \frac{ax + b}{cx + d}$ for $x \in C$ where $bd \neq 0$ reduces to a constant function, if

Explanation

Reviewed by Dr. Abubacker

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