Correct answer only ! i cannot retake which functions are invertible? select each correct answer.

If a function is invertible, use the horizontal line test.

If a horizontal line intersects the graph at more than one point then it is not invertible.

The top right and bottom right graphs pass the horizontal line test, so are invertible

Step-by-step explanation:

According to the theory of functions, a function is invertible if it's one-to-one and surjective.

In addition, there's a graphic test called "horizontal line test". This test is used to know if a function is one-to-one. It consist in drawing an horizontal line across the graph, if the line intercept the function at one point, then that function is one-to-one, if the line intercept the function at two points, then that function is not one-to-one. And, if the function is one-to-one, then it can be invertible.

So, in the given graph, if we draw a horizontal line on each function, the first and third function aren't one-to-one, so they aren't invertible.

Therefore, by the horizontal line test, the second and fourth functions are one-to-one and they are invertible.

7! = 7×6×5×4×3×2

3! = 3× 2

as 7! is multiple of 3! because 7! contains 3! that is 3× 2 as factor

so 7! /(3! ) = 7× 6× 5× 4

= 42 × 20

= 840

its b) 840✌✌✌

dhruv⭐

hello :

70y^8 + 30y^6 = 2 ( 35 y^8 + 15y^6)

the lenght is : 35 y^8

the width is : 15y^6