If f1(x)=x+10 and f2(x)=2x then what is the value of (f1f2)(7)?
If f1(x)=x+10 and f2(x)=2x then what is the value of (f1f2)(7)?
Answer: C. 24 — Solution: Evaluate the composition by applying the inner function first. Compute the inner function: f2(7) = 2 × 7 = 14. Apply the outer function to that…
- A.
238
- B.
34
- C.
24
- D.
None of these
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Correct answer: C
Solution: Evaluate the composition by applying the inner function first.
Compute the inner function: f2(7) = 2 × 7 = 14.
Apply the outer function to that result: f1(14) = 14 + 10 = 24.
Therefore, the value of the composition is 24.
Note: In general, (f1 ∘ f2)(x) = f1(f2(x)). Here f1(x) = x + 10 and f2(x) = 2x, so (f1 ∘ f2)(x) = 2x + 10, and (f1 ∘ f2)(7) = 2×7 + 10 = 24.
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