SOLUTION: find f(g(x)) f(x)= x-10 , g(x)= -2x^2-5

Question 174507This question is from textbook
: find f(g(x)) f(x)= x-10 , g(x)= -2x^2-5
This question is from textbook

Answer by midwood_trail(310) (Show Source): You can put this solution on YOUR website!
Find f(g(x)) given f(x)= x - 10 , g(x)= -2x^2 - 5
You know what g(x) is, right?
g(x) = -2x^2 - 5
You want to find f of g(x).
So, plug the value of g(x), which is (-2x^2 - 5) into the value for f(x), which is (x - 10) and simplify.
f(g(x)) = (-2x^2 - 5) - 10
f(g(x)) = -2x^2 - 5 - 10
f(g(x)) = -2x^2 - 15
That's it.
Understood?
===========================
I received your e-mail.
You want to find the domain of -2x^2 - 15???
The domain will be all the values that we can safely replace x with in the given function.
The domain of the function f(g(x)) = -2x^2 - 15 is: ALL REAL NUMBERS.
You see, we can replace x with any number here without affecting anything regarding the function itself.
DOMAIN = ALL REAL NUMBERS

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