Answer :

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