Question

What is f(−2)
𝑓
(
−
2
)
for the function f(x)=3x+8
𝑓
(
𝑥
)
=
3
𝑥
+
8
. Show all work or steps to receive full credit. (1 point)
f(−2)=
𝑓
(
−
2
)
=

Answer 1

To find \( f(-2) \) for the function \( f(x) = 3x + 8 \), follow these steps:

1. **Substitute** \( -2 \) for \( x \) in the function:
\[
f(-2) = 3(-2) + 8
\]

2. **Calculate** \( 3(-2) \):
\[
3(-2) = -6
\]

3. **Add** \( 8 \) to \( -6 \):
\[
f(-2) = -6 + 8
\]

4. **Compute** the final result:
\[
-6 + 8 = 2
\]

Thus,
\[
f(-2) = 2.
\]