If f(x)=3x-1 and g(x)=x+2, find (f-g)(x)
A. 4x+1
B. 3-2x
C. 2x-3
D. 2x-1

C

Step-by-step explanation:

(f - g)(x) = f(x) - g(x) , then

f(x) - g(x)

= 3x - 1 - (x + 2)

= 3x - 1 - x - 2 ← collect like terms

= 2x - 3 → C

for this case we have by definition, if two lines are perpendicular, then the product of their slopes is -1.

then, given the following line:

so,

we are looking for m_ {2}:

then, the line is given by:

we find "b" replacing the given point:

finally, the equation is:

option c