Question

Question 4 Given: f(x) = -3x – 3 and g(x) = x2 + 5 Find (f - g) ().​

Answer 1

We get
`\mathbf{(f-g)(x)= -x^2-3x-8}`

Explanation:

We are given:

`f(x) = -3x - 3\\ g(x) = x^2 + 5`

We need to find (f-g)(x) (assuming there is x in the bracket, i.e. (f - g) () should be (f-g)(x))

We would simply subtract f(x) and g(x)

`(f-g)(x)\\= -3x-3-(x^2+5)\\Multiply\:minus\:sign\:with\:terms\:inside\:the\:bracket\\=-3x-3-x^2-5\\Combining\:like\:terms:\\=-x^2-3x-3-5\\=-x^2-3x-8`

So, We get
`\mathbf{(f-g)(x)= -x^2-3x-8}`