Question

Given the function f(x)= 4 lx - 5 l +3 for what values of x is f(x) =15

Answer 1

Answer:2,8

Explanation:

Given that
`f(x)=4|x-5|+3`

We need the values of
`x` for which
`f(x)=15`.

So,

`15=4|x-5|+3`

`12=4|x-5|`

`|x-5|=3`

If
`x\geq 5,`

`x-5=3\\x=8`

If
`x< 5,`

`5-x=3\\x=2`

So,
`2,8` are the solutions