Perform the requested operation or operations.
f(x) = 2x - 9, g(x) = 4x - 4
Find (f - g)(x).
To find (f - g)(x), we need to subtract g(x) from f(x).
Given:
f(x) = 2x - 9
g(x) = 4x - 4
To find (f - g)(x), we subtract the expressions for g(x) from f(x):
(f - g)(x) = f(x) - g(x)
Substituting the expressions for f(x) and g(x):
(f - g)(x) = (2x - 9) - (4x - 4)
Let's simplify the expression by combining the like terms:
(f - g)(x) = 2x - 9 - 4x + 4
Combining like terms:
(f - g)(x) = (2x - 4x) + (-9 + 4)
Simplifying further:
(f - g)(x) = -2x - 5
Therefore, (f - g)(x) = -2x - 5.
To find (f - g)(x), we need to subtract the function g(x) from the function f(x).
The given functions are:
f(x) = 2x - 9
g(x) = 4x - 4
To find (f - g)(x), we subtract g(x) from f(x) by subtracting their corresponding terms. Let's subtract the terms:
(f - g)(x) = (2x - 9) - (4x - 4)
Now, distribute the subtraction operation to both terms inside the parentheses:
(f - g)(x) = 2x - 9 - 4x + 4
Combine like terms by combining the x terms and the constant terms:
(f - g)(x) = (2x - 4x) + (-9 + 4)
(f - g)(x) = -2x - 5
Therefore, (f - g)(x) = -2x - 5.