Question

F{af(x) +b g(x) } =a
f(s) +b g(s), where a and
b are constants is

a) linearity property
b) change the scale property
c) shifting property
d) none​

Answer 1

Answer:

(1) Linearity Property

If F(s) and G(s) are Fourier Transforms of f(x) and g(x) respectively, then

F{a f(x) + bg(x)} = a F(s) + bG(s),

where a and b are constants.

= a F(s) + bG(s) i.e,

F{a f(x) + bg(x)} = a F(s) + bG(s).

do you want to be my friend