If f(x) = 16x – 30 and g(x) = 14x – 6, for which value of x does (f – g)(x) = 0? –18 –12 12 18

The value of x for which (f-g)(x) is equal to zero is 12

According to the question, we are given the following functions

f(x) = 16x - 30

g(x) = 14x - 6

Before we can get the value of x for which (f-g)(x), we need to first calculate the function (f-g)(x)

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

Substitute the give  function inside the formula

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

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

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

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

If (f-g)(x) = 0, then:

2x - 24 = 0

Add 24 to both sides

2x - 24 + 24 = 0+ 24

2x = 24

Divide both sides by 2

2x/2 = 24/2

x = 12

Hence the value of x for which (f-g)(x) is equal to zero is 12.

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x = 12

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

= 16x - 30 - (14x - 6) = 16x - 30 - 14x + 6 = 2x - 24 ( equating to zero gives )

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

2x = 24 ( divide both sides by 2 )

x = = 12

answer: h

step-by-step explanation:

the multiples of 15 are 15, 30,45, 60, 75, 90, 105, 120, 135, 150, 165, 180, 195,   210, 225, 240, 255, 270, 285, 300, 315, 330, 345, 360, 375,   390, 405, 420, 435, 450, 465, 480, 495, 510, 525, 540, 555, 570, 585, 600, 615, 630, 645, 660, 675, 690, 705, 720, and 735.

the factors of 15 are 1, 3, 5, and 15.

hope that , fam!

-une, your fren : )