6 February, 04:34
If f (x) = 16x - 30 and g (x) = 14x - 6, for which value of x does (f-g) (x) = 0?
0 - 12
6 February, 05:41
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
Given that (f - g) (x) = 0
2x - 24 = 0
2x = 24
x = 12
Answer: x = 12
6 February, 06:16
x = 12
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
Know the Answer?
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