Hiya so im new and need help with my homework

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

hello can you please help and explain/solve thanks

Answer 1

1. Stretch vertically by a factor of 2: g(x) = 2 ln x

Then, reflect across the x-axis: g(x) = -2 ln x

Then, translate four units to right: g(x) = -2 ln (x-4)

So the answer is A

2.The natural logarithm of e is 1.

1-12t or -12t

So the answer is C