Q23 of 68 Page 27

If , then prove that f (y) = x.

Given:

To prove: f(y) = x

Explanation: we have

Now we will replace x with y, we get

From equation (i), we will substitute the value of y in above equation, we get

Cancelling the like terms, we get

f(y) = x

Hence proved

Let and g (x) = x be two functions defined in the domain R⁺∪ {0}. Find

Find the domain and Range of the function f (x) = 1/root x-5 .

Let n (A) = m, and n (B) = n. Then the total number of non-empty relations that can be defined from A to B is

If [x]² – 5 [x] + 6 = 0, where [ . ] denote the greatest integer function, then

A. x ∈ [3, 4]

B. x ∈ (2, 3]

C. x ∈ [2, 3]

D. x ∈ [2, 4)