Let f be a function f : N→ N defined by f (x) = 3x + 2, x ∈ N. Find the images of 1, 2, 3.
A
5, 8, -11
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B
5, 8, 11
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C
-5, 8, 11
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D
-5, -8, -11
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Solution
The correct option is B 5, 8, 11 Given:
Function f : N→ N defined by
f (x) = 3x + 2, x ∈ N.
If x = 1, f (1) = 3(1) + 2 = 5
If x = 2, f (2) = 3(2) + 2 = 8
If x = 3 , f (3) = 3(3) + 2 = 11
Hence the images of 1, 2, 3 are 5, 8, 11 respectively.