Answer:
1157 / 500
Step-by-step explanation:
Answer:
c.
Step-by-step explanation:
Move the constant to the right side and the sign
0.5x=26-6
Calculate
0.5x=26-6=20 >>> 0.5x=20
divide both sides of by the equation 0.5
0.5x=20 >>> x=40
Answer:
The value of x = -1 makes the denominator of the function equal to zero. That is why this value is not included in the domain of f(x)
Step-by-step explanation:
We have the following expression

Since the division between zero is not defined then the function f(x) can not include the values of x that make the denominator of the function zero.
Now we search that values of x make 0 the denominator factoring the polynomial 
We need two numbers that when adding them get as a result -1 and when multiplying those numbers, obtain -2 as a result.
These numbers are -2 and 1
Then the factors are:

We do the same with the numerator

We need two numbers that when adding them get as a result 4 and when multiplying those numbers, obtain 3 as a result.
These numbers are 3 and 1
Then the factors are:

Therefore

Note that
only if 
So since
is not included in the domain the function has a discontinuity in 
Answer:
g(f(x)) = √(x^2 +17)
Step-by-step explanation:
For ...
f(x) = x^2 +9
g(x) = √(x +8)
The definition of g(f(x)) is ...
g(f(x)) = g(x^2 +9) = √((x^2 +9) +8)
g(f(x)) = √(x^2 +17)
3,6,12...
this is a geometric sequence with a common ratio of 2. That means u multiply each term by 2 to find the next term.
start with 3
3 * 2 = 6
6 * 2 = 12
12 * 2 = 24...this would be ur next term
so ur answer is : multiply by 2