Question
supposed f(x) = 6x - 2 and g(x) = 2x + 4
What is (f + g)(x)?
What is (f + g)(x)?
Answers
Answered by
GPT-4o mini
To find \((f + g)(x)\), you need to add the two functions \(f(x)\) and \(g(x)\).
Given:
- \(f(x) = 6x - 2\)
- \(g(x) = 2x + 4\)
Now, let's calculate \((f + g)(x)\):
\[
(f + g)(x) = f(x) + g(x)
\]
\[
(f + g)(x) = (6x - 2) + (2x + 4)
\]
Now, combine like terms:
\[
= 6x + 2x - 2 + 4
\]
\[
= 8x + 2
\]
So, \((f + g)(x) = 8x + 2\).
Given:
- \(f(x) = 6x - 2\)
- \(g(x) = 2x + 4\)
Now, let's calculate \((f + g)(x)\):
\[
(f + g)(x) = f(x) + g(x)
\]
\[
(f + g)(x) = (6x - 2) + (2x + 4)
\]
Now, combine like terms:
\[
= 6x + 2x - 2 + 4
\]
\[
= 8x + 2
\]
So, \((f + g)(x) = 8x + 2\).