1) Describe the relationship of input and outpunt values for a composite functions.
The composition of the functions f(x) and g(x) is defined as:
(f ° g) (x) = f [g(x) ].
That means that the output of the function g(x) is the input of the function f(x).
2) Is the inverse of a function always a function?
No, the inverse of a function is not always a function.
Remember that a function cannot have two different outputs for one or more input.
The reason is that if the original function has two or more inputs that result in a same output, when you inverse the original function, the outputs of the original are the inputs of the inverse function and the inputs of the original are the outputs of the inverse. That implies that the inverse function would have some inputs related with more than one output, which is the negation of a function.
Total ducks = 8
blue winged ducks =2
fraction of ducks having blue wings =2/8 =1/4
A: Perimeter = 2*length + 2*width = 2x^2 + 14x + 4
B: Area = length*width = 4x^3 + 12x^2 + 8x
Hey there!!
Recursive formula :
... a( n ) = a ( n - 1 ) + 7
The first term is 12
To find the second term, we will need to substitute 2 in place of ' n '
2 term :
... a( 2 ) = a ( 2 - 1 ) + 7
... a( 2 ) = a( 1 ) + 7
We know a( 1 ) = 12
... a( 2 ) = 12 + 7
... 19 is the second term and we will need to use this to find the other terms.
Hope my answer helps!
Answer:
27.44 square cm
Step-by-step explanation:
If the length of parallelogram is a and b and angle between side a and b is 
.
Then area of parallelogram = 
Given side length 4 cm and 7 cm
angle between them = 100°
value of sin(100°) = 0.98
Thus, area of given parallelogram = 4*7*sin(100°) = 28*0.98 = 27.44
Thus, area of given parallelogram is 27.44 square cm.
