Posted by **ALLI** on Wednesday, September 5, 2012 at 10:39pm.

if f(x)=lnx, g(x)=e^3x, and h(x)=x^4 find following

A)(f of g)(x)and the domain of f of g

B) (g of f)(x) and the domain of g of f

C) (f of h)(x) and the domain of f of h

please show work

- algebra -
**Reiny**, Wednesday, September 5, 2012 at 10:58pm
I will do B), you do the others the same way ...

b)

(g of f)(x) to me means g(f(x))

= g(lnx)

= e^(3lnx)

since we can only take logs of positive numbers,

domain: x > 0

range: I hope you are familiar with the basic exponential function, so y>0

## Answer this Question

## Related Questions

- You did letter B for me, can you check my work? - if f(x)=lnx, g(x)=e^3x, and h(...
- college alg :( - if f(x)=lnx, g(x)=e^3x, and h(x)=x^4 find following A)(f of g)(...
- Math - If f(x)-lnx,g(x)=e^8x, and h(x)=x^7, find the following: a. (f.g)(x). ...
- college algebra - 1.for the given function f&g, find the following and state the...
- College Algebra - For the given functions f and g, find the following and state ...
- Algebra - Given the following function rules and domains, find the associated ...
- college algebra - For the given functions f and g find the following and state ...
- Pre-Calc - Suppose that f has a domain of A and g has a domain of B. (a). What ...
- Math - The domain of g(x) is -1< x < 9 What is the domain of g(x - 4) I ...
- Small Group Communication - Regulating participation, climate making, and ...