Please help me with my homework I have needed help for many hours

Question

1.) Identify the transformed function that represents f(x) = ln x stretched vertically by a factor of 2, reflected across the x-axis, and shifted by 4 units right.

A.) g(x) = −2ln (x − 4)

B.) g(x) = 2ln (x − 4)

C.) g(x) = −2ln (x + 4)

D.) g(x) = 2ln (x + 4)

2.) Simplify ln e −12t .

A.) −12

B.) 12t

C.) −12t

D.) 12

hi please help and explain/solve thanks

Answer 1

stretched vertically by a factor of 2- this will put a 2 in front of ln

reflected across the x-axis- this will make the function negative

shifted by 4 units right- this will have -4 inside the

giving you -2ln(x-4)

ln(e) is equal to one, so you can think that they cancel each other out, leaving you with just -12t

Answer 2

1)C

2)C