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irina [24]
3 years ago
7

(fog)(x) and (gof)(x) f(x)= 8/1-5x g(x)= 1/x Then find the domain for each

Mathematics
1 answer:
Paha777 [63]3 years ago
5 0
To find FoG ( or F of G) you put the equation of G in for the X of F

FoG = \frac{8x}{x-5}   The domain is All Except 5 since it makes the bottom 0

GoF = - \frac{5x}{8} + \frac{1}{8} The domain is -Infinity to Infinity


FoG ---  The picture --- You want the denominator the same for both of the numbers. By turning 1 into 1x/x it still stays 1 because the x's cancel out, but it can group with the 5.

Next you can multiply both sides (top and bottom) by x and get the final product.

GoF --- Multiply both sides by 5x+1 and get the final product 


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Calculate the ending balance of your savings account if you deposit $400 and earn simple interest a 7% for five years.
masha68 [24]
Okay well 7%, changes into 7/100=0.07 and there are 5 years and you have the beginning amount of 400. So 400×0.07=28. 28×5= 140. So add 140 to the be amount, 400+140=$540. Answer is $540.
6 0
3 years ago
(Worth 30 points) What are the explicit equation and domain for an arithmetic sequence with a first term of 5 and a second term
kolbaska11 [484]

Answer:

a_n=5-2(n-1), all integers where n≥1

Step-by-step explanation:

we know that

The explicit equation for an arithmetic sequence is equal to

a_n=a_1+d(n-1)

a_n is the th term

a_1 is the first term

d is the common difference

n is the number of terms

we have

a_1=5\\a_2=3

Remember that

In an Arithmetic Sequence the difference between one term and the next is a constant, and this constant is called the common difference.

To find out the common difference subtract the first term from the second term

d=a_2-a_1=3-5=-2

substitute the given values in the formula

a_n=5-2(n-1)

The domain is all integers for n\geq 1

3 0
3 years ago
X^5-2x^4
sergeinik [125]

Answer:

x  ≠-8          x ≠ -2

Step-by-step explanation:

We cannot divide by zero, so the denominator cannot equal zero

X^2+6x-16≠0

Factor

(x+8) (x-2) ≠0

Using the zero product property

(x+8)  ≠0     (x-2) ≠0

x  ≠-8          x ≠ -2

8 0
4 years ago
Find the area of the figure use 3.14 for pie
frosja888 [35]
What figure? there’s nothing here
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son4ous [18]

Answer:4.2%

Step-by-step explanation: it’s what delta math told me the answer was

7 0
3 years ago
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