Answer:
Option 4: 5x^4 + 6x³- 7x² + 7x
Step-by-step explanation:
Given the following functions:
f(x) = 5x^4 + x³ - 2x² + 4
g(x) = 5x³ - 5x²+ 7x - 4
To solve for f(x) + g(x):
You could simply combine like terms as you normally would in adding or subtracting regular integers. The most important thing to remember is to only combine the terms with the same exponents. I've aligned both functions vertically, according to terms to make is easier to see where to add and subtract.
f(x) = 5x^4 + 1x³ - 2x² + 0x + 4
+ g(x) = 0x^4 + 5x³ - 5x² + 7x - 4
= 5x^4 + 6x³ - 7x² + 7x + 0
Therefore, the correct answer is Option 4: 5x^4 + 6x³ - 7x² + 7x
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