Question

Find the domain of the function () =



2+3+5



2−5+6​

Answer 1

Answer:

n

C  

r

​  

 is defined when n,r∈N,n≥r (r can be zero)

16−x

C  

2x−1

​  

 is defined for  

16−x>0\

2x−1≥0..

16−x≥2x−1\

Combining (1),(2) and (3) we get

.

x={1,2,3,4,5\

Similarly,  

20−3x

P  

4x−5

​  

 is defined for  

20−3x>0.

4x−5≥0.

20−3x≥4x−5.

.

Combining (4),(5) and (6) we get

.

x={2,3}

.

From (i) and (ii), the common values of x are 2 and 3.