For f (x) = 2x+1 and g(x) = x2-7, find (f 3)(x).
1 answer:
You might be interested in
Answer:
1. (a) A function is a mapping where there should be different values of y for different x.
So, given ordered pairs:
(3,7), (3,8) ,(3,-2) ,(3,4) ,(3,1)
It is not a function because there are multiple y values for single x-value.
Option 2 is correct.
(b) We need to find range of the function f(x)= -4x +1
So, we have given the domain which means the value of x we will put thses given values of x to find y
Values of y is the range in a function
So, given domain is: {-5,-1,0,2,10}
When
When
when
when
when
So, Range is: {-39,-7,1,5,21}
Option 1 is correct.
(c) We have given a function
Where c is the number of cup jug of milk which is 16.
Put c=16 in given function
So, c=16, v(c)=1568 is reasonable domain and range of the function.
Option 1 is correct.
(d) We need to find the inverse of given ordered pairs (1,2) (3,4) ,(6,8)
So, the inverse means values of x and y interchange.
So, the required inverse is: (2,1) ,(4,3) ,(8,6)
Option 3rd is correct.
2. We need to find the inverse of given scatter plot in which we have to find the inverse
So, given scatter plot represents (-4,-2) ,(1,-1) ,(2,1) ,(3,2)
So, in inverse values of x and y interchange
So, inverse scatter plot should represent (-2,-4) ,(-1,1) ,(1,2), (2,3)
Attached is the scatter plot inverse
Graph 1 is correct.
3.We have been given a function:
So, f(x)=y
That is
We will find x from above equation we get
Now, interchange x and y
is the required inverse
Therefore, option 3rd is correct.
