Answer:
For 
, Leading coefficient is -2, Degree is 2, Constant term is 0
For 
, Leading coefficient is -25, Degree is 2, Constant term is 9
For 
, Leading coefficient is 1, Degree is 5, Constant term is -1
Step-by-step explanation:
Given:
Polynomials:
To find: leading coefficient, constant term and degree
Solution:
Leading coefficient is the coefficient of the variable with the highest power.
Degree is the highest power of the variable.
The term of degree 0 is the constant term of a polynomial.
For ,
Leading coefficient is -2
Degree is 2
Constant term is 0
For
Leading coefficient is -25
Degree is 2
Constant term is 9
For
Leading coefficient is 1
Degree is 5
Constant term is -1
Do you not know what slope is? Just use the slope formula which is y2-y1/x2-x1
Choose 2 coordinates and pick one of the y values to subtract by the other and the same x value correlated with ur first y value u subtracted minus the other x value
Answer:
It is 152
Step-by-step explanation:
I hope this helped
The question regards composite functions. A composite function is a function composed of more than one function. Sorry for saying the word function so many times there, it's just what it is...
The phrase f(g(x)) means 'perform g on an input x, then perform f on the result'. You can then see that there are many options for f(x) and g(x) here, in fact an infinite number of one were to be ridiculous about it.
However a sensible choice might be g(x) = x^2, and f(x) = 2/x + 9. Checking:
g(x) = x^2
f(g(x)) = 2/(x^2) + 9
That is the first question dealt with. Next up is Q2. It is relatively simple to show that these functions are inverses. If you start with a value x, apply a function and then apply the function's inverse, you should return to the same starting value x. To take a common example, within a certain domain, sin^-1(sin(x)) = x.
f(g(x)) = (sqrt(3+x))^2 - 3 = 3 + x - 3 = x
g(f(x)) = sqrt(x^2 - 3 + 3) = sqrt(x^2) = x
A final note is that this is only true for a certain domain, that is x <= 0. This is because y = x^2 is a many-to-one function, so unrestricted it does not have an inverse. Take the example to illustrate this:
If x = -2, f(x) = (-2)^2 - 3 = 4 - 3 = 1
Then g(f(x)) =sqrt(1 + 3) = sqrt(4) = 2 (principal value).
However the question isn't testing knowledge of that.
I hope this helps you :)
