If f (x) = 16x - 30 and g (x) = 14x - 6, for which value of x does (f-g) (x) = 0?

-18

0 - 12

0 12

0 18

f (x) = 16x - 30 (Given)

g (x) = 14x - 6 (Given)

Find (f - g) (x):

(f - g) (x) = f (x) - g (x)

(f - g) (x) = (16x - 30) - (14x - 6)

(f - g) (x) = 16x - 30 - 14x + 6

(f - g) (x) = 2x - 24

Solve x:

Given that (f - g) (x) = 0

2x - 24 = 0

2x = 24

x = 12

Answer: x = 12

x = 12

Step-by-step explanation:

note that f - g) (x) = f (x) - g (x), hence

16x - 30 - (14x - 6) = 0

16x - 30 - 14x + 6 = 0

2x - 24 = 0 (add 24 to both sides)

2x = 24 (divide both sides by 2)

x = 12