Question

F(x)=3x+2 and g(x)=x-3. Find f(x)-g(x)

a. 4x-1
b. 2x-1
c. 2x+5
d. 2x-5​

Answer 1

• First step is to plug in the given values :

`\longrightarrow \tt3x + 2 - ( x - 3)`

• Remove the bracket and change the signs of those terms which are inside bracket since there is a negative sign.

`\longrightarrow \tt \: 3x + 2 - x + 3`

• Collect like terms

`\longrightarrow \tt 3x - x + 2 + 3`

`\longrightarrow \boxed{ \tt 2x + 5 }`

------------------- HappY LearninG <3 -------