Question

If g (x) = x2, what is the value of g (a+2)?
g (a+2) - a2 +4a+4
g (a+2) = a2+2
g (a+2) = a2
g (a+2)= a2 +2a +2

Answer 1

Let's break down the function \( g(x) = x^2 \) and find \( g(a+2) \).

1. **Calculate \( g(a+2) \):**
\[
g(a+2) = (a+2)^2
\]
Expanding this:
\[
g(a+2) = (a+2)(a+2) = a^2 + 4a + 4
\]

So, we have:
\[
g(a+2) = a^2 + 4a + 4
\]

Now, looking at the expressions you've mentioned:

1. \( g(a+2) - a^2 + 4a + 4 \):
This doesn't equate to anything meaningful since it will sum up to 0.

2. \( g(a+2) = a^2 + 2 \):
This is incorrect since \( g(a+2) = a^2 + 4a + 4 \).

3. \( g(a+2) = a^2 \):
This is incorrect; clearly \( g(a+2) = a^2 + 4a + 4 \).

4. \( g(a+2) = a^2 + 2a + 2 \):
This is also incorrect; the correct formulation is \( g(a+2) = a^2 + 4a + 4 \).

In conclusion, the correct value of \( g(a+2) \) is:
\[
g(a+2) = a^2 + 4a + 4
\]