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Let f = {(1,3), (2,1) , (3,2)} and g= {(1,2), (2,3) , (3,1)}. What is gof(2)?
- a)3
- b)Does not exist
- c)2
- d)1
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Let f = {(1,3), (2,1) , (3,2)} and g= {(1,2), (2,3) , (3,1)}. What is ...
gof(2)=g[f(2)]
=g[1]=2
=g[1]=2
Most Upvoted Answer
Let f = {(1,3), (2,1) , (3,2)} and g= {(1,2), (2,3) , (3,1)}. What is ...
Understanding Function Composition
To solve for gof(2), we need to understand the composition of the functions f and g. Here are the steps:
Step 1: Find f(2)
- Look at the function f = {(1, 3), (2, 1), (3, 2)}.
- We need to find the output of f when the input is 2. According to f, when the input is 2, the output is 1.
- Therefore, f(2) = 1.
Step 2: Find g(f(2))
- We need to find g(1) since f(2) = 1.
- Now, look at the function g = {(1, 2), (2, 3), (3, 1)}.
- According to g, when the input is 1, the output is 2.
- Therefore, g(1) = 2.
Final Calculation: Combining Steps
- Since we found that f(2) = 1 and g(1) = 2, we have gof(2) = g(f(2)) = g(1) = 2.
Conclusion
- The final answer is: gof(2) = 2.
- Therefore, the correct option is c) 2.
To solve for gof(2), we need to understand the composition of the functions f and g. Here are the steps:
Step 1: Find f(2)
- Look at the function f = {(1, 3), (2, 1), (3, 2)}.
- We need to find the output of f when the input is 2. According to f, when the input is 2, the output is 1.
- Therefore, f(2) = 1.
Step 2: Find g(f(2))
- We need to find g(1) since f(2) = 1.
- Now, look at the function g = {(1, 2), (2, 3), (3, 1)}.
- According to g, when the input is 1, the output is 2.
- Therefore, g(1) = 2.
Final Calculation: Combining Steps
- Since we found that f(2) = 1 and g(1) = 2, we have gof(2) = g(f(2)) = g(1) = 2.
Conclusion
- The final answer is: gof(2) = 2.
- Therefore, the correct option is c) 2.
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Community Answer
Let f = {(1,3), (2,1) , (3,2)} and g= {(1,2), (2,3) , (3,1)}. What is ...
gof(2)=g[f(2)]
=g[1]=2
=g[1]=2
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Let f = {(1,3), (2,1) , (3,2)} and g= {(1,2), (2,3) , (3,1)}. What is gof(2)?a)3b)Does not existc)2d)1Correct answer is option 'C'. Can you explain this answer?
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