To find (f-g)(x) for the given functions f(x)=4x+7 and g(x)=√x+x, subtract g(x) from f(x) to get 3x + 7 - √x. Simplify the expression to obtain the final result.
To find (f-g)(x) given the functions f(x)=4x+7 and g(x)=√x+x, we need to perform the subtraction of g(x) from f(x). This is done as follows:
Step 1: Write down the given functions.
f(x) = 4x + 7
g(x) = √x + x
Step 2: Perform the subtraction (f-g)(x).
(f-g)(x) = f(x) - g(x)
= (4x + 7) - (√x + x)
= 4x + 7 - √x - x
Step 3: Simplify the resulting expression.
(f-g)(x) = 3x + 7 - √x
So, the result of (f-g)(x) is 3x+ 7 -√x