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Determine whether the conclusion C is valid in the following premises without
using truth table: H1: ¬Q, H2: P → Q, C: ¬ P
Find the coefficient x to the power 4 * y cube & number of terms in the expansion of (3x – 10y)11

How many ways can be letters { 5.a. 4.b, 1.c} be arranged so that all letters of

same kind are in a single block


injective functions always have inverse True or False


  • -151 mod 26 True Or false

how many reflexive relation on A={1,2,3,4,5},could be definde


Display(ii) f(x) = x
3 + 1 from the set of real numbers to the set of real numbers the graph of following functions.
Display the graph of following functions.
(i) f(n) = n
2 + 4 from the set of integers to the set of integers
(b) Given f(x) = x
2
, g(x) = 2x and h(x) = x - 2 be functions from R to R. Find
(i) f ◦ g
(ii) f ◦ h
(iii) h ◦ f
(iv) (f ◦ g) ◦ h
(v) f ◦ (g ◦ h)
(a) Consider f : R → R, f(x) = x
2
and g : R → R, g(x) = x + 5.
(i) What is g ◦ f?
(ii) What is f ◦ g
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