How do you determine equation for this simple composite function?

[Cuisine123]

Homework Statement

Given g(x)=|x| and f(x)=secx

1)Determine an equation for (f(g(x))
2)State the domain
3)x and y intercepts
4)any asymptotes

Homework Equations

N/A

The Attempt at a Solution

f(g(x))=sec|x| or 1/cos|x|

 

[rock.freak667]

Homework Statement

Given g(x)=|x| and f(x)=secx

1)Determine an equation for (f(g(x))
2)State the domain
3)x and y intercepts
4)any asymptotes

Homework Equations

N/A

The Attempt at a Solution

f(g(x))=sec|x| or 1/cos|x|

for x>0 what does fg(x) simplify to and do the same when x<0.

 

[HallsofIvy]

Homework Statement

Given g(x)=|x| and f(x)=secx

1)Determine an equation for (f(g(x))

"Equation" isn't the right word here. Do you mean formula? Why not just f(g(x))= f(|x|)= sec(|x|)?

2)State the domain

What is the domain of |x|? Which of those are in the domain of sec(x)?

3)x and y intercepts

What is f(g(0))? where is f(g(0))= 0?

4)any asymptotes

Are there any values of x for which sec(x) is not defined?

Homework Equations

N/A

The Attempt at a Solution

f(g(x))=sec|x| or 1/cos|x|

Good. Now continue.