Question

If `f(x)=7|x-2|`, find `f(0)`, `f(-2)`, `f(x+1)` and `f(x^2+2)`?

Answer 1

`f(0)=14`, `f(-2)=28`, `f(x+1)=7|x-1|` and `f(x^2+2)=7x^2`

Explanation:

As `f(x)=7|x-2|`

`f(0)=7|0-2|=7xx|-2|=7xx2=14`

`f(-2)=7|-2-2|=7xx|-4|=7xx4=28`

`f(x+1)=7|x+1-2|=7|x-1|`

`f(x^2+2)=7|x^2+2-2|=7|x^2|=7x^2` *as `x^2` is always positive.