Explanation:
The function is given below as
The set of domains is given below as
Step 1:
Put x=-1
Step 2:
Put x=0
Step 3:
Put x=1
Step 4:
Put x=2
Hence,
The range of g(x) using set notation will be
Hence,
The graph of g(x) is given below as
Explain how you know which terms to combine when combining like terms.
1 answer:
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We write an inequality:
This equation cannot be solved using trivial methods found in high-school classes, so we resort to graphical examination.
is a linear function while 
is an exponential one (with limit zero as 
approaches 
). We see that 
at approximately 
and 
.
Indeed, using a computer algebra system such as the ones on modern TI calculators and on many internet sites gives equality at
. By observing our graph, we see that when 
or 
.
This equation cannot be solved using trivial methods found in high-school classes, so we resort to graphical examination.
Indeed, using a computer algebra system such as the ones on modern TI calculators and on many internet sites gives equality at