Answer:
A. 4
B. 1
Step-by-step explanation:
The degree of a one-variable polynomial is the largest exponent of the variable.
__
<h3>A.</h3>
For f(x) = x^4 -3x^2 +2 and g(x) = 2x^4 -6x^2 +2x -1, the sum f(x) +a·g(x) will be ...
(x^4 -3x^2 +2) +a(2x^4 -6x^2 +2x -1)
= (1 +2a)x^4 +(-3-6a)x^2 +2ax -a
The term with the largest exponent is (1 +2a)x^4, which has degree 4. This term will be non-zero for a ≠ -1/2.
The largest possible degree of f+ag is 4.
__
<h3>B.</h3>
The polynomial sum is ...
f+bg = (1 +2b)x^4 +(-3-6b)x^2 +2bx -b
When b = -1/2, the first two terms disappear and the sum becomes ...
f+bg = -x +1/2 . . . . . . a polynomial of degree 1
The smallest possible degree of f+bg is 1.
Answer:
y=147/17
Step-by-step explanation:
-17(y-2)=-177+64
-17y+34=-113
-17y=-113-34
-17y=-147
17y=147
y=147/17
Answer:
They are inverse functions
Step-by-step explanation:
A property of inverse functions is that if 
We can plug in x = 3
That means that, supposing they are inverse functions, g(7) should equal 3
It checks out
Another way to see if two functions are inverse is to swap the x and y of one of the functions.
ex. 
Since, after the swap, the functions are equal, we know it is an inverse function
