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Problem 7 - Entrance Test
If f(x) = 2x + 3 and g(x) = x^2 - 1, what is f(g(x))?
A. 2x^2 + 1
B. 4x^2 + 12x + 8
C. 2x^2 + 2
D. x^2 - 1
E. 4x^2 + 8
Check Answer
Show Solution
Correct: A
To find f(g(x)), we substitute g(x) into f(x): f(g(x)) = f(x^2 - 1) = 2(x^2 - 1) + 3 = 2x^2 - 2 + 3 = 2x^2 + 1.