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
Answer:
8x^3
Step-by-step explanation:
(2x)3
=(2x)3
=2x*2x*2x
=8x^3
Answer:
rational
Step-by-step explanation:
Answer:
680
Step-by-step explanation:
Use the binomial coefficient where you choose
numbers out of
possible numbers and find the total amount of combinations since order does not matter:

Thus, you can make 680 three-non-repeating-number codes