Question

Given the function f(x) = 2 x + 61 - 4, for what values of x is f(x) = 6?

O x= -1, x = 11

Ox=-1, x = -11

O x= 14 = -26

O x= 26, x=-14

Answer 1

i think it’s x= -1, x = -11

Explanation:

Answer 2

`x = -1` or
`x = -11`

Explanation:

Given

`f(x) = 2|x+6| - 4`

Required

Find x when

`f(x) = 6`

Substitute 6 for f(x)

`6 = 2|x+6| - 4`

Add 4 to both sides

`4+6 = 2|x+6| - 4+4`

`10 = 2|x+6|`

Divide both sides by 2

`5 = |x + 6|`

Rewrite as:

`|x + 6| = 5`

This can be split to:

`x + 6 = 5` or
`-(x + 6)=5`

Solve for x in both cases

`x = 5 - 6` or
`x + 6 = -5`

`x = -1` or
`x = -6 - 5`

`x = -1` or
`x = -11`