Suppose a function f(x) has domain (-1,1). Find the domains of the following functions:

A. f(x+1)
B. f(1/x)
C. f(squareroot x)
D. f(x+1)/(x-1)

Thanks !

Question

Suppose a function f(x) has domain (-1,1). Find the domains of the following functions:

A. f(x+1)
B. f(1/x)
C. f(squareroot x)
D. f(x+1)/(x-1)

Thanks !

anonymous · Answer

$$c) \sqrt{x}$$

amistre64 · Answer

an odd question, but i think it has to do with transformations

amistre64 · Answer

srry, i got no good ideas for this one :/

anonymous · Answer

ahh thanks anyways ; ]

amistre64 · Answer

http://www.freemathhelp.com/forum/threads/87785-Domain-problem this seems to have a cogent solution process.

amistre64 · Answer

if its good, then it seems like we take some f(a) such that:

-1 < a  < 1   and evaluate it ... 

f(1/x) would be like:

-1 < 1/x < 1

x cant be a fraction, and it cant be 0, so x>1 or x < -1 seems to fit

amistre64 · Answer

fine, it can be a fraction, but it has to be improper :)

1/(5/3) = 3/5  is fine

1/(2/3) = 3/2  is outside of the domain