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defon
3 years ago
12

Find the requested function and state domain. Find f·g, for f(x)=1/x-5 and g(x)= 7/x

Mathematics
1 answer:
Flura [38]3 years ago
6 0
We have the following functions:
 f (x) = 1 / (x-5)
 g (x) = 7 / x
 Multiplying the functions we have:
 f · g = (1 / (x-5)) * (7 / x)
 Rewriting:
 f · g = (7 / x (x-5))
 f · g = (7 / (x ^ 2-5x))
 The domain of the function is:
 All reals less:
 x = 0
 x = 5
 Answer:
 
f · g = (7 / (x ^ 2-5x))
 
The domain of the function is:
 
All reals less:
 
x = 0
 
x = 5
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So, if they played 60 games, and you want to find how many they lost, you would write x/60, when x=games lost.

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Simplify the fraction on the left. Divide the numerator (top) and the denominator (bottom) by 5, leaving you with 3/20.

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4 years ago
The surface area of a rectangular prism is 396 ft2.
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3 years ago
I have 47 nickels and dimes worth $4.20. How many of each type of coin do I have?
soldi70 [24.7K]

Answer:

37 dimes and 10 nickels

Step-by-step explanation:

let d = # dimes

let n = # nickels

we can set up a system of equations:

n + d = 47

.05n + .10d = 4.2

if we solve the first equation for 'n' we get:  

n = 47-d

now we can substitute this in for 'n' in the second equation:

.05(47-d) + .10d = 4.2

2.35 - .05d + .10d = 4.2

2.35 + .05d = 4.2

subtract 2.35 from each side to get:

.05d = 1.85

d = 1.85÷.05

d = 37

if d+n = 47 and d=37 then n = 10

Check:

.05(10) + .1(37) should equal 4.2

.50 + 3.7 = 4.2  [It Checks Out]

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2 years ago
Algebra 1A Connections Academy 10th Grade Unit 6: Lesson 9: Portfolio
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By dividing the top and bottom by (X-4), we see that the equation equals (X+7)/(X-3).
6 0
3 years ago
Read 2 more answers
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