Question

Plz help me thanks soo much and explain too :)

Answer 1

Answer:

$f(0) = 14$

Step-by-step explanation:

Given

$f(x) = \left \{ {{|x - 8| + 6 \ x$

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 $0$

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