f(x) = 3x^2-5 and g(x) = 2/x. find the function of f(g(x)) and give the domain.

Solve equation with exact answers: -x^2-3x+10 = 0

f(x) = ln(4-x) find the domain

Help appreciated

Thanks!

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- December 13th 2008, 09:28 PMMurphieA few pre calc questions! help appreciated
f(x) = 3x^2-5 and g(x) = 2/x. find the function of f(g(x)) and give the domain.

Solve equation with exact answers: -x^2-3x+10 = 0

f(x) = ln(4-x) find the domain

Help appreciated

Thanks! - December 13th 2008, 10:49 PMearboth
1) Substitute the x in f by the term of g:

Since the division by zero is not allowed the domain is

2)

Use the quadratic formula to solve this equation. I've got

3) You are supposed to know that the ln-function is defined for positive arguments only. Thus the domain is