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
The rule says that the sum of any two sides has to be smaller than the third side so, no it can't
444 ÷ 2 = 222
444 ÷ 3 = 148
90 ÷ 2 = 45
90 ÷ 3 = 30
90 ÷ 5 = 18
90 ÷ 10 = 9
45 ÷ 3 = 15
45 ÷ 5 = 9
So 444 can be divided into 2 and 3
90 can be divided into 2, 3, 5, and 10
45 can be divided into 3 and 5
Hope this helps. :)
<span>It is possible to have an obtuse triangle that also contains a 35° angle.
Yes, this is true.
That's because an obtuse angle just means it's more than 90 but less than 180 degrees.
</span><span>It is possible to have a right triangle that also contains a 110° angle.
</span>No, this is false.
That's because a right triangle already has 90. That means that the two remaining angles must add up to 90 and not more or less.
<span>It is possible to have an acute triangle that also contains a 70° angle.
Yes, this is true.
An acute triangle means that all of the angles are more than 0 but less than 90.
Hope this helps :)</span>
