Question

The function f: C - defined by f(x) = ax +b/c^x+d for see where bd is not epal to 0 reduces to a constant function if
(a) e
(b) b=d
(c) ad = bc
(d) ab = cd​

Answer 1

Solution:

f (x) = [ax + b] / [cx + d] = k

[ax + b] = kcx + kd

Coefficient of x : a = kc ⇒ k = a / c

Consatnt term: b = kd ⇒ k = b / d

k = a / c = b / d

ad = bc

I hope my my answers will help you