(a) Two functions p and q are defined on the set of real numbers, R, by p : y \(\to\) 2y +3 and q : y -> y - 2. Find QOP
(b) How many four digits odd numbers greater than 4000 can be formed from 1,7,3,8,2 if repetition is allowed?
(b) How many four digits odd numbers greater than 4000 can be formed from 1,7,3,8,2 if repetition is allowed?
Take Free Practice Test On 2026 JAMB UTME, Post UTME, WAEC SSCE, GCE, NECO SSCE
Correct Answer: Option
Explanation:
P(y) = 2y + 3, q(y) = y\(^2\) - 2
q \(\cap\) p = qp(y)
= q(2y + 3)
= (2y + 3)\(^3\) - 2
= 4xy\(^2\) + 12y + 9 - 2
= 4y\(^2\) + 12y + 7
(b)
No. of ways = 2 x 5 x 5 x 5
= 250 ways
P(y) = 2y + 3, q(y) = y\(^2\) - 2
q \(\cap\) p = qp(y)
= q(2y + 3)
= (2y + 3)\(^3\) - 2
= 4xy\(^2\) + 12y + 9 - 2
= 4y\(^2\) + 12y + 7
(b)
No. of ways = 2 x 5 x 5 x 5
= 250 ways