I have a problem that I really need help with: Find f(g(4)) if f(x)=x^3/2 and g(x)=1-3x^2 I know generally how to find f(g(x)) but I am still sometimes getting confused between g(f(x)) so I want that double checked. I think the first step on this problem would be f(g(x))=1-3(x^3/2)^2 Do I have that part right? Also, we haven't done anything with radical fractions yet but I think (x^3/2)^2 equals x^2*9 all of that over 4. Correct? Thank you!

I have a problem that I really need help with: Find f(g(4)) if f(x)=x^3/2 and g(x)=1-3x^2 I know generally how to find f(g(x)) but I am still sometimes getting confused between g(f(x)) so I want that double checked. I think the first step on this problem would be f(g(x))=1-3(x^3/2)^2 Do I have that part right? Also, we haven't done anything with radical fractions yet but I think (x^3/2)^2 equals x^2*9 all of that over 4. Correct? Thank you!

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter2: Functions

Section: Chapter Questions

Problem 30P: In this problem you are asked to find a function that models in real life situation and then use the...

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