Algebra Practice Test 2025 – 400 Free Practice Questions to Pass the Exam

Question: 1 / 400

If g(x) = 2x + 1, what is g(a + h) - g(a)?

2a + 2h

2h

To find g(a + h) - g(a) using the given function g(x) = 2x + 1, we'll first compute g(a + h) and g(a) separately.

Starting with g(a + h):

g(a + h) = 2(a + h) + 1

= 2a + 2h + 1

Now, compute g(a):

g(a) = 2a + 1

Next, we'll subtract g(a) from g(a + h):

g(a + h) - g(a) = (2a + 2h + 1) - (2a + 1)

When we simplify this:

= 2a + 2h + 1 - 2a - 1

= 2h

Thus, the resulting expression for g(a + h) - g(a) is 2h. This indicates that the correct answer involves only the change in terms of h, showing the direct dependency of the function on h when evaluating the difference in outputs corresponding to inputs a and a + h.

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2a + h

3h

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