What is the range of y=log^2(x-6)

Question

asked Oct 24, 2020 193k views

2 Answers

Lahniep · Answer 1 · 2020-10-30T18:31:16+0000

Answer:

$y\geq 0$ or
$[0, \infty)$

Explanation:

By definition the function

y = log (x) has a domain of
x> 0 .

Since the function is not defined for the values of x negative or equal to zero.

The range of this function is all the real numbers.

Since
y <0 when
0 <x <1 and
$y\geq0$ when
$1\leq x<\infty.$

In this case we have the function
y = log ^ 2 (x-6)

Therefore since the log function is squared then its range is now
$y\geq 0$