Question

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

Answer 1

x=12

Explanation:

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

(f-g)(x)=0

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

Distribute

= 16x -30 -14x +6

Combine like terms

= 16x-14x -30+6

2x-24

Set this equal to zero

2x-24 =0

Add 24 to each side

2x-24 +24=0+24

2x=24

Divide by 2

2x/2 =24/2

x = 12