Perform the indicated operation.
f(x) = x^2 + 2x
g(x) = 2x - 3
Find (f-g)(x)
Plss answer
Perform the indicated operation, write your final answer: Given. If f(x) = 2x^2 and g(x) = 3x + 1,
To find (f-g)(x), we need to subtract the function g(x) from the function f(x).
First, let's write out the function f(x) = x^2 + 2x and g(x) = 2x - 3.
(f-g)(x) = f(x) - g(x)
Substituting the given functions, we have:
(f-g)(x) = (x^2 + 2x) - (2x - 3)
Now, distribute the negative sign to g(x):
(f-g)(x) = x^2 + 2x - 2x + 3
Combining like terms, we have:
(f-g)(x) = x^2 + 3
So, the expression (f-g)(x) simplifies to x^2 + 3.