Final answer:
To find f(x) - g(x), we subtract the given function g(x) from f(x) by adding the inverse of g(x) to f(x) and combining like terms to get 7x² + 5.
Step-by-step explanation:
To find f(x) - g(x), we take the function f(x) which is given as 3x² + 5 and subtract the function g(x), which is given as -4x². Therefore, we subtract the corresponding terms of the two functions:
f(x) - g(x) = (3x² + 5) - (-4x²)
By distributing the subtraction, we change the sign of the terms in g(x) and add them to f(x):
f(x) - g(x) = 3x² + 5 + 4x²
Merging like terms, we get:
f(x) - g(x) = (3x² + 4x²) + 5 = 7x² + 5
This expression represents the simplified form of the subtraction of the two functions.