College Algebra CLEP Prep Practice Exam

Iff(x) = x^2 and g(x) = x + 1, then what is f(g(x))?

1. (x + 1)^2

2. 2x + 1

3. x^2 + 1

4. x + 2

The correct answer is: (x + 1)^2

When computing f(g(x)), we first substitute the expression for g(x) into the function f(x). This results in f(x + 1) = (x + 1)^2. Therefore, the correct answer is A. Option B is incorrect because it is the composition of f(x) and g(x), not just f(g(x)). Option C is incorrect because it adds 1 to x^2, not (x + 1)^2. Option D is incorrect because it adds 2 to x, not x^2. Thus, A is the only option that correctly represents f(g(x)).