F(x) = -x + 4 and g(x) = 6x + 3, find (f(x) - g(x))

A. -5x-1
B. 5x +1
C. -7x +1

C

Step-by-step explanation:

f(x) - g(x)

= - x + 4 - (6x + 3)

= - x + 4 - 6x - 3 ← collect like terms

= - 7x + 1 → C

option 1 is correct.

step-by-step explanation:

y varies inversely with x and constant of variation is 4

the equation will be:

y = k/x

where k =4 so,

y = 4/x

if we put values of x of option 1 in the above equation and find values of y

y = 4/-2 => y =-2

y = 4/-1 => y = -4

y = 4/1 => y = 4

y = 4/2 => y =2

so, all the values of x and y are correct.

if we put values of x given in other options and find value of y we cannot find whole table satisfying the equation.

hence option 1 is correct.