Question

All these 2 questions

Answer 1

Answer:

sorry friend don't know the answer

Step-by-step explanation:

Answer 2

Here is your answer :-

Question no. 1 :- What is the range of the function (x) = [ x - 1 ] / ( x - 1 ) ??

Answer :- First of all let's understand the mod function mathematically.

so,

[ x ] = +x if x is positive

and

(x) = -x if x is negative

so, for f(x) = [ x - 1 ] / x - 1

if x - 1 is positive or x > 1, then, f(x)= ( x - 1 ) / ( x - 1 )

and,

if x - 1 is negative or x < 1, then f(x) = -(x -1 ) / ( x - 1 )

= -1

For x = 1 f(x) = 0/0

Hence, this case is forbidden as domain and as well as range.

so, for this function

Domain = All real numbers except " 1 "

and

Range = - 1 or + 1

Question no. 2 :- write the element a23

of a 3× 3 matrix A = ( aij ) whose elements aij are given aij = [ i - j ] / 2 ??

Answer :- In 3 × 3 matrix,

aij = [ ( i - j ) / 2 ]

a23 = [ (2 - 3) / 2 ]

= [ -1 / 2 ]

= 1/2

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