Question

***PLEASE HELP I'M TIMED***

Let f(x)=e^x and g(x)=x+6. What are the domain and range of (g0f)(x)? domain: x > 0 range: y > 0 domain: x > 6 range: y > 0 domain: all real numbers range: y > 6 domain: all real numbers range: all real numbers\

Answer 1

It is not D!!!! it is not all real numbers for both! I got it wrong!

Explanation:

edge 2021

i had answered saying it was D but then I got it wrong, so I can't just delete my answer. But I can say it is absolutely not D.

Answer 2

Domain and Range of g(f(x)) are 'All real numbers' and y respectively

Explanation:

We have the functions, f(x) = eˣ and g(x) = x+6

So, their composition will be g(f(x)).

Then, g(f(x)) = g(eˣ) = eˣ+6

Thus, g(f(x)) = eˣ+6.

Since the domain and range of f(x) = eˣ are all real numbers and positive real numbers respectively.

Moreover, the function g(f(x)) = eˣ+6 is the function f(x) translated up by 6 units.

Hence, the domain and range of g(f(x)) are 'All real numbers' and y respectively.