Answer:
The graph of f(x) passes through (1,1) , (2,1.4...), (3,1.7....),(4,2)......
As, this curve is not linear.
To find the graph of a inverse function if a function is given
As we can see that ,
√1=1
√2=1.414..
√3=1.732..
√4=2
it means, √x=y is f(x).
So, to find the inverse of f(x), follow the procedure
Squaring both sides
Replace x by y and y by x to get inverse of f(x)
So,there will be two inverses of f(x)
1. x=√y
2. x= -√y
Domain of g(x)∈[0,∞], means y≥0.
Option A, 2nd graph below. and Option B. 3 rd Graph below is true regarding graph of g(x).
Answer:
so if it takes twice all long for amy as nacy that means
Amy takes 2/3 or 0.6(aprox)
Nacy takes 1/3 or 0.3(aprox)
Amy=24
Nacy=12
Hope This Helps!!!
When you represent intervals on the number line, you're including full dots, excluding empty dots, and you're considering numbers highlighted by the line.
In the first case, you've highlighted everything before -2 (full dot, thus included), and everything after 1 (empty dot, excluded). So, the set would be

or, in interval notation,
![(-\infty,-2]\cup (1,\infty)](https://tex.z-dn.net/?f=%28-%5Cinfty%2C-2%5D%5Ccup%20%281%2C%5Cinfty%29)
In the second case, you are looking for all numbers between -3 and 5. This interval is symmetric with respect to 1: you're considering all numbers that are at most 4 units away from 1, both to the left and to the right.
This means that the difference between your numbers at 1 must be at most 4, which is modelled by

where the absolute values guarantees that you'll pick numbers to the left and to the right of 1.