Ans(a):
Given function is 
we know that any rational function is not defined when denominator is 0 so that means denominator x+4 can't be 0
so let's solve
x+4≠0 for x
x≠0-4
x≠-4
Hence at x=4, function can't have solution.
Ans(b):
We know that vertical shift occurs when we add something on the right side of function so vertical shift by 4 units means add 4 to f(x)
so we get:
g(x)=f(x)+4
We may simplify this equation but that is not compulsory.
Comparision:
Graph of g(x) will be just 4 unit upward than graph of f(x).
Ans(c):
To find value of x when g(x)=8, just plug g(x)=8 in previous equation
4x-3x=-1-16
x=-17
Hence final answer is x=-17
Commutative property of multiplication states that u can " commute " , move around the numbers and get the same result.
Example : 1 * 2 * 3 = 3 * 2 * 1...they still equal no matter what order u put them in.
so cba = abc by commutative property of multiplication
The average r. of c. of a function f(x) on an interval [a,b] is:
f(b) - f(a)
--------------
b-a
You'll need to apply this to all four of the given functions.
First function: f(x) = x^2 + 3x
a= -2; b= 3
Then the ave. r. of c. for this function on this interval is:
18 - (-2) 20
------------------ = ---------- = 4. y increases by 4 for every unit increase in x.
3-(-2) 5
Do the same thing for the other 3 functions.
Then arrange your four results in descending order (greatest to least).
We can first add all them up:
Since it's for a square, we have to divide by 4:
So, the expression for a square with the exact same perimeter is
3x + 1
Answer:
-3 is not a whole number because the whole number is like a zero , no fraction or demical part and <u>no negative</u>
<em>Hope</em><em> this</em><em> helps</em><em> </em><em>:</em><em>)</em>
Step-by-step explanation:
-3 has negative sign so it's not a whole number
