A function assigns the values. The value of (f +g)(x) for the two given functions f(x)=5x³+2x²–7x+4 and g(x)=3x–7 is 5x³ + 2x² – 4x – 3. The correct option is D.
What is a Function?
A function assigns the value of each element of one set to the other specific element of another set.
Given the two functions such as,
f(x) = 5x³ + 2x² – 7x + 4
g(x) = 3x – 7
Now, the value of (f +g)(x) is the value of the function which is produced when the two of the given function are added together, therefore, the value of the added function can be written as,
(f +g)(x) = f(x) + g(x)
(f +g)(x) = (5x³ + 2x² – 7x + 4) + (3x – 7)
= 5x³ + 2x² – 7x + 4 + 3x – 7
= 5x³ + 2x² – 4x – 3
Hence, the value of (f +g)(x) for the two given functions f(x)=5x³+2x²–7x+4 and g(x)=3x–7 is 5x³ + 2x² – 4x – 3.
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