Question

Plz help me thanks soo much and explain too :)

Answer 1

`f(0) = 14`

Explanation:

Given

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

Required

Find f(0)

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

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

If
`x < 4`

`f(x) = 15`

If
`x \ge 4\\`

f(0) implies that
`x =0` and
`0<4`

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

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

Substitute 0 for x in
`f(x) = |x - 8| + 6`

`f(0) = |0 - 8| + 6`

`f(0) = |- 8| + 6`

`|-8| = 8`

So, the expression becomes

`f(0) = 8 + 6`

`f(0) = 14`

Hence, the value of f(0) is 14