Question

If f(x) = 5x - 3 and g(x) = 3x - 3, find f(x) - g(x).

A 2x
B. 8x - 6W
C2x-6
D. 8x

Answer 1

5x-3-(3x-3)

5x-3-3x+3

5x-3x

2x

Answer 2

Replace f(x) to 5x-3 and g(x) to 3x-3 then subtract f(x) by g(x).

`\large{f(x) - g(x) = (5x - 3) - (3x - 3)}`

Cancel the brackets, remember that multiplying or expanding the negative symbol will switch the sign. From plus to minus and minus to plus.

`\large{ f(x) - g(x)= 5x - 3 - 3x + 3 }`

Combine like terms.

`\large{f(x) - g(x) = 2x + 0 \longrightarrow \boxed{2x}}`

Answer

• f(x)-g(x) = 2x