Question

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

Answer 1

Answer:

Ans: All real numbers

Step-by-step explanation:

Answer 2

Answer:

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

Step-by-step 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 $y$ when $0$ and $y\geq0$ when $1\leq x$

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

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