Simplifying Exponents: Tips and Tricks for Solving Complex Equations

[dustinj.11]

Homework Statement

Attached is the problem, I don't like the math editor used on this site, so its a pdf. The only real problem I have is how to is how do you square a problem like square root of x over 2x?

 

[berkeman]

Homework Statement

Attached is the problem, I don't like the math editor used on this site, so its a pdf. The only real problem I have is how to is how do you square a problem like square root of x over 2x?

Welcome to the PF.

Since you are given $$f(x) = \frac{1}{\sqrt{x}}$$

and $$g(x) = x^2 - 5$$

what is f(g(x))? Wouldn't you substitute the g(x) term into the f(x) equation? Where do you get "square root of x over 2x"?

 

[dustinj.11]

Thanks for the help, bt the answers were multiple choice, and as it turns out the correct choice wasn't there. Thats what confused me. Sorry if i seemed a little confused, just I was bred on a calculator, and now my calc ab teacher won't let us use any type of calculator. So, 90% of the time my brain is fried.