No, Lea is incorrect.
" The composition of two functions may be different if they are taken in different orders "
For example:
If,
and
Then,
Also,
Now, we know that (gof)(x) and (fog)(x) will not be equal for all the values of x.
They will be equal only for x= -1/2
( Since,
G. 3
H. 4
J. 10
K. Infinitely many
I. 6x^2
II. 18x^3+5ab-6y
III.8a-5
IV. 4x^3y+3x^2-xy-4
Degree of polynomials:
Least to greatest based on degree:
Solution:
The degree of the polynomial is the highest degree of any of the terms
Know that the degree of a constant is zero
Option I
Here the highest degree is 2 ( x power 2)
In this case, degree of polynomial is 2
Option II
To find the degree of the polynomial, add up the exponents of each term and select the highest sum.
Thus the highest degree is 3
Option III
This is not a polynomial
A polynomial does not contain variables raised to negative
Option IV
To find the degree of the polynomial, add up the exponents of each term and select the highest sum.
Thus highest degree is 4
Then organize the expressions from least to greatest based on their degree
Least to greatest based on degree:
Answer: -3
Step-by-step explanation: In this problem we are asked to subtract -6 - (-3). It's important to understand that when we have minus a negative, we can change it to plus a positive.
Now we have the following.
-6 + 3
Starting at 0 on our number line, -6 moves us 6 units to the left. Then from there, positive 3 moves us 3 units back to the right and we end up at -3.
Therefore, -6 - (-3) = -3