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If f(x) = x^2 and g(x) = x + 1, what is (f ∘ g)(2)?
If f(x) = x^2 and g(x) = x + 1, what is (f ∘ g)(2)?
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Practice Questions
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Q1
If f(x) = x^2 and g(x) = x + 1, what is (f ∘ g)(2)?
4
9
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(f ∘ g)(2) = f(g(2)) = f(2 + 1) = f(3) = 3^2 = 9.
Questions & Step-by-step Solutions
1 item
Q
Q: If f(x) = x^2 and g(x) = x + 1, what is (f ∘ g)(2)?
Solution:
(f ∘ g)(2) = f(g(2)) = f(2 + 1) = f(3) = 3^2 = 9.
Steps: 6
Show Steps
Step 1: Identify the functions. We have f(x) = x^2 and g(x) = x + 1.
Step 2: Find g(2). Substitute 2 into g(x): g(2) = 2 + 1.
Step 3: Calculate g(2). This gives us g(2) = 3.
Step 4: Now, we need to find f(g(2)), which is f(3).
Step 5: Substitute 3 into f(x): f(3) = 3^2.
Step 6: Calculate f(3). This gives us f(3) = 9.
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