November 25th, 2017, 11:24 AM  #1 
Newbie Joined: Oct 2017 From: Rumba Posts: 20 Thanks: 0  Calculating function How do i do this? 
November 25th, 2017, 12:22 PM  #2 
Senior Member Joined: Sep 2015 From: USA Posts: 1,856 Thanks: 963 
a) $g \circ f = g(f(x))$ The domain of $g \circ f$ is the same as the domain of $f(x)$ and it's range is the same as $g(x)$ $(g \circ f)(1) = g(f(1)) = g(a) = 50$ you go ahead and find the rest of them b) $f^{1}$ is defined such that $f^{1}(f(x)) = f(f^{1}(x))=x$ so for example $f^{1}(f(1))=f^{1}(a) = 1$ so $f^{1}:\{(a,1),\dots \}$ you figure out the rest of the entries and the domain and range. It should be pretty clear that the domain of $f^{1}$ is the equal to the range of $f$ and vice versa. c) is trivial $(h+i)(x) = h(x)+i(x) = x^2 + 2x + 4 = (x+1)^2 + 3$ I leave it to you to determine the domain and range. 

Tags 
calculating, function 
Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
Calculating vector function r(t)=(x(t), y(t), x(t))  zollen  Calculus  3  February 8th, 2017 04:15 PM 
Calculating IRR  frazza999  Economics  2  November 1st, 2014 12:41 AM 
Calculating moment generating function  theorem  Advanced Statistics  3  May 3rd, 2014 12:54 PM 
Calculating  ChristinaScience  Algebra  7  April 19th, 2013 01:00 AM 
calculating of the sum  Anton29  Advanced Statistics  0  April 25th, 2012 07:31 AM 