Tuesday

September 16, 2014

September 16, 2014

Posted by **For Reiny** on Wednesday, September 5, 2012 at 11:10pm.

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

A) f(g(x))

=lnx(e^3x)

domain x>0

C)f(h(x))

=lnx(x^4)

x>4

- You did letter B for me, can you check my work? -
**Reiny**, Wednesday, September 5, 2012 at 11:17pmA) close , but not quite

f(g(x))

= f(e^3x)

= ln (e^(3x)) , you have an extra x in there

f(x) was defined as lnx, so whatever x is replaced by on the left side, must be replaced by on the right side ....e.g.

f(2) = ln2

f(happy face) = ln(happy face)

f(e^3x) = ln(e^3x)

C) you made the same error

f(h(x)) = f(x^4) = ln x^4

the domain would be x > 0

- You did letter B for me, can you check my work? -
**For Reiny**, Wednesday, September 5, 2012 at 11:22pmi understand now thank you

**Answer this Question**

**Related Questions**

algebra - if f(x)=lnx, g(x)=e^3x, and h(x)=x^4 find following A)(f of g)(x)and ...

college alg :( - if f(x)=lnx, g(x)=e^3x, and h(x)=x^4 find following A)(f of g)(...

L'Hopital's rule - Find lim x->1+ of [(1/(x-1))-(1/lnx)]. Here is my work...

Math - If f(x)-lnx,g(x)=e^8x, and h(x)=x^7, find the following: a. (f.g)(x). ...

Calculus - Find the derivatives, dy/dx for the following functions. a. x^2y^4 = ...

precalculus - given functions f,g, and h find f o g o h state exact domain. show...

Calculus 1 - Find the derivative of y with respect to x. y=(x^6/6)(lnx)-(x^6/36...

Calculus - What is the domain and range of the following function? f(x)= - sqrt...

calculus - for the given functions f&g, find the following and state the domain ...

MATH - for the given functions f and g find the following and state the domain ...