Experts, plz explain me when f(x) is 1 and f(y) is 1 then f(x+y) is 1, why not 1+1=2 in - Maths - Matrices

Question

Experts, plz explain me when f(x) is 1 and f(y) is 1 then f(x+y) is
1, why not 1+1=2 in question 13 of exercise 3 2 ncert

Ishwarmani · Accepted Answer

Dear
Student,
Please find
below the solution to the asked query:

As, fx+y≠fx+fy which is similar to sinx+y≠sinx+sinySo, when fx=1 and fy=1, then fx+y≠2
Note: We cannot use distribution law in fx+y as here f is not multiplied with x+y rather it is the function of the sum of x and y
i e  fx+y≠f×x+y or fx+y≠fx+fy

Hope
this
information will clear
your doubts about the
topic
Regards

Experts, plz explain me when f(x) is 1 and f(y) is 1 then f(x+y) is 1, why not 1+1=2 in question 13 of exercise 3.2 ncert.