Given f(x)=4x - 7 8x +8 what is the end behavior of the function?
1 answer:
The end behavior of the function f(x) describes the behavior of the function as x approaches the +∞ f(x) approaches to 1/2 and the x approaches the -∞ f(x) approaches to 1/2.
<h3>What is a function?</h3>It is defined as a special type of relationship and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
For the end behavior:
As x → ∞ f(x) → 1/2
And x → -∞ f(x) → 1/2
Thus, the end behavior of the function f(x) describes the behavior of the function as x approaches the +∞ f(x) approaches to 1/2 and the x approaches the -∞ f(x) approaches to 1/2.
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Solution:
The function is given below as
To figure out
To do this , we will substitute x= 2x-1 in g(x)
Hence,
The composte function will be
Step 2:
To figure out the domain,
In mathematics, the domain of a function is the set of inputs accepted by the function.
Hence,
The domain of the function is