(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

The function f is defined by

f(x) = sqrt(7-3x) , x<=1

= 3x^2-4x+3 , x>1

(1) Find the range of f

(2) if g(x)=sqrt(7-3x) , h(x)=3x^2-4x+3 in the case where f is continuous , find the composite function hg and state its domain and range.

(3) Determine the largest set for the domain and the corresponding range such that hg is one to one.

2. Relevant equations

3. The attempt at a solution

(1) Range=[2,infinity)

(2) hg(x)=24-9x-4sqrt(7-3x)

domain=(- inifinity , 7/3)

range = [3 , infinity)

(3) some hints on this.

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# Homework Help: Find the range of the function

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