Question

Plz help me thanks sooo much

Answer 1

`f(6) = 15`

Explanation:

Given

`f(x) = \left \{ {x - 8 \atop {15\ x\ge 4}} \right.`

Required

Find f(6)

From the piecewise function, the value of f(x) is:

`f(x) = |x - 8| + 6`

If
`x < 4`

And the value of f(x) is:

`f(x) = 15`

If
`x \ge 4\\`

In f(6), the value of x is 6 and
`6 \ge 4`

So, we make use of

`f(x) = 15`

Substitute 6 for x

`f(6) = 15`