## hpfan101 one year ago Let f(x)=1/x and g(x)=1/x^2 a) Find f(g(x)) b) Is f(g(x)) continuous everywhere? Explain.

1. anonymous

f(x) this is the first function, the x value in this function will be g(x) this means that g(x) will be the input value for f(x) |dw:1443305169960:dw|

2. hpfan101

Ok so we would get f(g(x))=1/(1/x^2)

3. hpfan101

Then would it be $1\times \frac{ x^2 }{ 1 }$

4. hpfan101

So f(g(x)= x^2

5. hpfan101

Ok, I finished solving the question, thanks for the help!

6. anonymous

The second part to the question is not so simple, though.