let's recall that the graph of a function passes the "vertical line test", however, that's not guarantee that its inverse will also be a function.
A function that has an inverse expression that is also a function, must be a one-to-one function, and thus it must not only pass the vertical line test, but also the horizontal line test.
Check the picture below, the left-side shows the function looping through up and down, it passes the vertical line test, in green, but it doesn't pass the horizontal line test.
now, check the picture on the right-side, if we just restrict its domain to be squeezed to only between [0 , π], it passes the horizontal line test, and thus with that constraint in place, it's a one-to-one function and thus its inverse is also a function, with that constraint in place, or namely with that constraint, cos(x) and cos⁻¹(x) are both functions.
Answer:
21m
Step-by-step explanation:
So for the rectangle, do 5*6, and you will get the area of the whole backyard. Then to get the area of the grass, you do 3*3 to get 9.
Finally, to get the cement, you subtract the area of the grass from the area of the whole backyard so 30-9 to get 21.
5*6=30
3*3=9
30-9+21
Please mark brainliest if you can!
Funny, I think you put the question in 2 times, this is the second time I'm answering this same question by you. :D
Answer:
2
Step-by-step explanation:
If two shapes are similar, this means the ratio of similar sides to each other are the same.
So, in the green shape, the long side length is 5 mm. In the purple shape, the long side length is 10 mm in length. The ratio is therefore 5 to 10, which can be simplified to 1 to 2 (which is basically saying that the side lengths of the purple shape are double the length of the sides of the green shape).
Using the same 1 to 2 ratio, you know that the short side length on the green shape is 1. The short side length on the purple shape (j) must therefore be double, which is 2.
Answer: 2/3-6=9 is equal to = − 2(2x+6)
What are you trying to find ?