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If ( f(x) = 3 - 3w ) and ( g(x) = 4x² + x - 4 ), find ( (f+g)(x) ).

A. ( 42 + x - 1 )
B. ( 6x² - 7 )
C. ( 4x² + 2x - 1 )
D. ( 4x + w + xx - 7 )

User Mehedi
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2 Answers

2 votes

Final answer:

To find (f+g)(x), add the functions f(x) and g(x). The correct answer is C. (4x² + 2x - 1).

Step-by-step explanation:

To find (f+g)(x), we need to add the functions f(x) and g(x).

First, let's find f(x) + g(x):

f(x) + g(x) = (3 - 3w) + (4x² + x - 4)

Simplifying the expression:

f(x) + g(x) = 4x² + x - 1 - 3w

So, (f+g)(x) = 4x² + x - 1 - 3w.

Therefore, the correct answer is C. (4x² + 2x - 1).

User Benny Bottema
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7.0k points
1 vote

Final answer:

To find the sum of two functions, f(x) and g(x), add their corresponding terms. Therefore, (f + g)(x) = 4x² + x - 1 - 3w.

Step-by-step explanation:

To find the sum of two functions, we need to add their corresponding terms. So, to find (f + g)(x), we simply add the terms of f(x) and g(x). Here's how:

(f + g)(x) = f(x) + g(x)

= (3 - 3w) + (4x² + x - 4)

= 3 - 3w + 4x² + x - 4

= 4x² + x + 3 - 4 - 3w

= 4x² + x - 1 - 3w

Therefore, (f + g)(x) = 4x² + x - 1 - 3w.

User SARI
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