The given equation represents a function and inverse of the function exist if x ≥ 6.
<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.
We have a function:
y = 2(x – 5)² – 6
Part A:
Using vertical line test, we can find the whether the graph is a function or not.
After drawing a graph for the given curve, and drawing a vertical line.
The vertical line touches only one point for the one input.
The given equation represents a function.
Part B:
Replace x → y and y → x
x = 2(y – 5)² – 6
2(y – 5)² = x + 6
Plug x = 1 in the y:
y = 26
Plug 
= 1 in inverse of a function:
x = 26
Thus, the given equation represents a function and inverse of the function exist if x ≥ 6.
Learn more about the function here:
brainly.com/question/5245372
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Answer:
The reflection changes the orientation of a figure by flipping it to the other side
explanation:
Think of a mirror it reflects your physical image
For the axis of symmetry it will be -b/2a but in this case the axis of symmetry is going to be y=4. the x intercept will be the roots (2,0) and (6,0) and for the y intercept it will be (0,3) since the parabola crosses the y axis at (0,3)
1. 65 miles
Explanation: 65(1) = 65
2. 97.5 miles
Explanation: 65(1.5)
3. 39 miles
Explanation: 26(1.5) assuming that 1.5 is the speed.
This might be wrong don't fully rely on me. If someone else's answer looks like this then go for it!!
Let they be x.
Cost of textbooks + laptops cant greater than total amount.
(cost of 1 textbooks * number of textbooks) + (cost of 1 laptop * number of laptops ≤ 6500
(30*116) + (x*439) ≤ 6500
3480 + 439x ≤ 6500
439x ≤ 3020
x ≤ 6.8(approx)
Last natural number is 6, says, they can buy 6 laptops at max.
