Thursday
April 17, 2014

Homework Help: Math

Posted by Sarah on Saturday, September 25, 2010 at 10:30am.

If f(x)=sin(x) and g(x)=x^2-x+1, find the domain of f(g(x)) and g(f(x)).

I was able to determine that:

f(g(x))= sin(x^2-x+1) and
g(f(x))= sin(x)^2 -sin(x) +1

Here is what I am thinking:

the range of f(x) is (x e R) and the range of g(x) is {x e R). Therefore the domain of f(g(x)) and g(f(x)) is {x e R)

the range of f(x) is {-1=< y=< 1} and the range of g(x) is {y>= .75}. Therefore the range of g(x) and f(x) will be what satisfies both the functions, { .75=< y =< 1}

Is this correct? If not, how would I go about solving this problem, specifically the range? Thanks for your help.

Answer this Question

First Name:
School Subject:
Answer:

Related Questions

Calculus - Consider the function f(x)=sin(1/x) Find a sequence of x-values that ...
Calculus - Consider the function f(x)=sin(1/x) Find a sequence of x-values that ...
Calculus - Consider the function f(x)=sin(1/x) Find a sequence of x-values that ...
tigonometry - expres the following as sums and differences of sines or cosines ...
algebra - Can someone please help me do this problem? That would be great! ...
Calculus - Consider the function f(x)=sin(1/x) Find a sequence of x-values that ...
math - Eliminate the parameter (What does that mean?) and write a rectangular ...
trig - Hi, I need to find the domain and rnge of the following: 1. X= 1/2 (cos ...
Math - Calculus - The identity below is significant because it relates 3 ...
Calculus I - Find the derivative of f(x) = sin^2 (e^sin^2 x) I wonder if I'm ...

Search
Members