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(e):
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:
Step-by-step explanation:
Let Waldo's speed = W
Let Ralph's speed = W + 15
A
Waldo's distance = speed * Time
Time = 4 hours.
Speed = w
distance = 4 * w
B
Ralph's speed is W + 15. It's not clear if you need a number. We'll get around to that later.
C
Ralph traveled 4*(W + 15)
D
4w + 70 + 4(W + 15) = d
You really can't get a definite answer to these questions. Even if you knew whether they were heading away from each other or towards each other it wouldn't help.
The triangle was just flipped so the missing side is going to equal 36, so...
2y+20= 36
(Subtract 20 from each side to isolate the 2y)
2y= 16
(Divide each side by 2 to isolate the variable)
ANSWER:
y= 8
The answer would be rounded by 7
