What is the range of y = log subscript 8 baseline x? all real numbers less than 0 all real numbers greater than 0 all real numbers not equal to 0 all real numbers

All real numbers

Step-by-step explanation:

To find the range of the function draw the graph of ths function (see attached diagram for details).

Since the base of the logarithm is the graph is increasing and passes through the point (1,0).

The domain of this function is

The range of this function is

or all real numbers.

step-by-step explanation:

first, eliminate the parenthesis:

3

x

+

2

−

4

x

second, group like terms:

3

x

−

4

x

+

2

third, combine like terms:

(

3

−

4

)

x

+

2

→

−

1

x

+

2

→

−

x

+

2