Which factor do 64x^2+48x+9 and 64x^2 - 9 have in common?
1 answer:
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Answer:
Third choice
Step-by-step explanation:
<u>Definition</u>
An inverse function is defined as a function, which can reverse into another function.
Thus, if we have a function f(x) which evaluates to k at x = a or in other words f(a) = k, then the inverse of that function indicated by f⁻¹(x) will be such that f⁻¹(k) = a. This is the same as stating that f⁻¹(f(a)) = a
In order the find the in verse of a function f(x) the following are the steps
- Set y = f(x)
- Switch x and y
- Solve for y
Given , set it equal to y
Swap the variables x and y
==>
Solve for y. There are two possible solutions
=
The only matching choice are choices 1 and 3. In order to determine if it is the first or the third, plug in 0 and see if the inverse value results in a real number
Substituting 0 for x in gives us 0 + 5 = 5 which is a valid real
So the domain of the function are all values ≥ 0
Hence choice 3, not choice 1