Answer:
g(x)=x+6
Step-by-step explanation:
we have
f(x)=x+8
If f(x) is shifted 2 units to the right
then
The rule of the translation is
g(x)=f(x-2)
so
g(x)=(x-2)+8
g(x)=x+6
Answer:
a = 2
Step-by-step explanation:
14a - 21 - 5a = -3
9a - 21 = -3
9a = -3 + 21
9a = 18
a = 2
Answer:
2(n*3 + 7) = 80
Step-by-step explanation:
2(n*3 + 7) = 80
n*3 + 7 = 40
n*3 = 33
n = 11
a) Since both limits are <em>distinct</em> and do not exist, we conclude that x = - 1 is not part of the domain of the <em>rational</em> function.
b) The function
is equivalent to the function
.
<h3>How to determine whether a limit exists or not</h3>
According to theory of limits, a function f(x) exists for x = a if and only if
. This criterion is commonly used to prove continuity of functions.
<em>Rational</em> functions are not continuous for all value of x, as there are x-values that make denominator equal to 0. Based on the figure given below, we have the following <em>lateral</em> limits:


Since both limits are <em>distinct</em> and do not exist, we conclude that x = - 1 is not part of the domain of the <em>rational</em> function.
In addition, we can simplify the function by <em>algebra</em> properties:


The function
is equivalent to the function
.
To learn more on lateral limits: brainly.com/question/21783151
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n can be 0 so 2(0) +3(0) = 0 now lets go up by one so 2(1) +3(1)= 5 now we will go up another number so lets go for 2(2)= 10 so we figured out that 2(1) +3(1) is 5 so n equals 1