Functions Question 734

Question: Let $ f:\{2,3,4,5\}\to \{3,4,5,9\} $ and $ g:\{3,4,5,9\} $ $ \to \{7,11,15\} $ be functions defined as $ f(2)=3f(3)=4,f(4)=f(5)=5,g(3)=g(4)=7, $ and $ g(5)=g(9)=11. $ Then gof (5) is equal to

Options:

A) 5

B) 7

C) 11

D) 1

Show Answer

Answer:

Correct Answer: C

Solution:

[c] We have $ gof(2)=g(f(2))=g(3)=7,gof(3) $ $ =g(f(3))=g(4)=7,gof(4)=g(f(4))=g(5)=11 $ and $ gof(5)=g(5)=11. $