What is the value of x? 3x+17=14x-5
2 answers:
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Answer:
Domain = [5,∞)
Step-by-step explanation:
Given:
We are given that f(x) is shifted right by 5 units.
Rule : f(x)→f(x-b)
The graph f(x) shifted b units right
So, using rule : →
So,
Now to find domain:
So, Domain = [5,∞).
Hence, the functions that produce given sequence are:
f(n) = 2n + 1
f(n) = 2(n − 1) + 3
Further explanation:
We will put n=1,2,3,4,5 to find which functions give the given sequence
<u>f(n) = 2n − 1</u>
Putting values of n
This function doesn't generate the given sequence
<u>f(n) = 2n + 1</u>
Putting values of n
This function generates the given sequence.
<u>f(n) = 2(n − 1) − 3</u>
Putting values of n
This function doesn't generate the given sequence
<u>f(n) = 2(n − 1) + 3</u>
Putting values of n
Hence, the functions that produce given sequence are:
f(n) = 2n + 1
f(n) = 2(n − 1) + 3
Keywords: Functions, Sequence
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