Question

Given f(x) = 3x + 2 and g(x) = x - 6, what is (f + g)(x)?

Answer 1

• (f + g)(x) = 4x - 4

Explanation:

According to the question, we have

• 
  `\sf f(x) = 3x + 2,`
• 
  `\sf f(x) = g(x) = x - 6`

To calculate (f + g)(x) we can substitute the value of f(x) and g(x),

Plugging the values,

`\sf (f + g)(x)`

`\sf f(x) + g(x)`

`\sf (3x + 2) + (x - 6)`

`\sf 3x + x + 2 - 6`

`\sf 4x - 4`

Therefore, (f + g)(x) = 4x - 4

`\dotfill`