Answer:
Step-by-step explanation:
We have to write the following logarithmic expression as a single logarithm.
The given expression is
=
{Since, , from the properties of logarithmic function }
=
{Since, , which also a logarithmic property}
=
= (Answer)
Answer:
Domain: {−2, −1, 0, 2} Range: {−4, −2, 2}
Step-by-step explanation:
We have been given a mapping diagram as shown below:
X Y
-2 -4
-1 -2
0 2
2
For better view, you can check the attached mapping diagram.
From that diagram we have to find domain and range.
Domain contains only x values so domain will be:
Domain: {-2,-1,0,2}
Range contains only y values so range will be:
Range: {-4,-2,2}
We see that only third choice matches obtained values of domain and range.
Hence final answer is Domain: {−2, −1, 0, 2} Range: {−4, −2, 2}
