SOLUTION: Suppose that the functions f and g are defined as follows. f(x) = 2x-3 g(x) square root(3х - 1) 1. Find (f times g) and f-g. Then, give their domains using interval notatio

Algebra ->  Equations -> SOLUTION: Suppose that the functions f and g are defined as follows. f(x) = 2x-3 g(x) square root(3х - 1) 1. Find (f times g) and f-g. Then, give their domains using interval notatio      Log On


   

Question 1190030: Suppose that the functions f and g are defined as follows.
f(x) = 2x-3
g(x) square root(3х - 1)
1. Find (f times g) and f-g. Then, give their domains using interval notation.

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
f%28x%29+=+2x-3
g%28x%29=sqrt%283x-1%29
Find %28f+%2Ag%29

%28f%2Ag%29=%282x-3%29%28sqrt%283x-1%29%29
%28f%2Ag%29=2x%2Asqrt%283x+-1%29+-+3sqrt%283+x-1%29
Domain: all except the value of x that makes %283+x+-+1%29 negative, so
3x+-+1 must be equal or greater than zero
3x+-+1%3E=0
3x+%3E=1
x+%3E=1%2F3
domain is
{ x element R : x%3E=1%2F3 }

interval notation: [1%2F3,infinity)


and

f-g=2x-3-sqrt%283x-1%29

domain is
{ x element R : x%3E=1%2F3 }

interval notation: [1%2F3,infinity)