Question

Plz help me thanks so muchhhh

Answer 1

`f(6) = 15`

Explanation:

Given

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

Required

Find f(6)

From the piecewise function, we have following as values of f(x):

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

If
`x < 4`

`f(x) = 15`

If
`x \ge 4\\`

f(6) implies that x =6 and
`6 \ge 4`

So, we make use of the second function, which is:

`f(x) = 15`

Substitute 6 for x in
`f(x) = 15`

`f(6) = 15`

Hence, the value of f(6) is 15