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iris [78.8K]
4 years ago
11

I need help with college algebra.

Mathematics
1 answer:
Greeley [361]4 years ago
7 0

Answer:

  • (f◦g)(x) = 8x/(3x+2)
  • domain: all real numbers except x ∈ {-2/3, 0}

Step-by-step explanation:

a. (f◦g)(x) = f(g(x)) = f(2/x) = 8/(2/x +3)

  (f◦g)(x) = 8x/(3x+2)

__

b. The domain of f(g(x)) is all real numbers except x = 0 and x = -2/3.

g(x) is not defined for x=0.

f(x) is not defined for x=-3, so f(g(x)) is not defined for g(x) = -3. g(x) = -3 for x = -2/3.

So, the domain of f(g(x)) must exclude both x=0 and x=-2/3.

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The first step in solving 3.17 t - 2.431 = 5.06 is to divide both sides of the equation by 3.17. TrueFalse
Pavlova-9 [17]

Answer:

False

Step-by-step explanation:

3.17t - 2.431 = 5.06 \\ 3.17t = 5.06 + 2.431 \\ 3.17t = 7.491 \\  \frac{3.17t}{3.17}  =  \frac{7.491}{3.17}  \\ t = 2.363

5 0
4 years ago
Read 2 more answers
One side of a rectangle is 6 yd longer than three times another side. The area of the rectangle is 72 yd2. Find the length of th
TiliK225 [7]

Answer:

18 yds

Step-by-step explanation:

Let the length and width be L and W respectively.

Then L· W = area = 72 yd², so that L = (72 yd²) / W.

But also L = 3W + 6 yd.  Subbing this into  L· W = area = 72 yd², we get:

(3W + 6) · W = 72, or

3W² + 6W - 72 = 0.  Since all  four terms are evenly divisible by 3, we get:

W² + 2W - 24 = 0, which factors as follows:

(W + 6)(W - 4) = 0.  Then W + 6 = 0, or W = -6 (makes no sense for a length), and W - 4 = 0 yields W = 4 yds.

If the shorter side is of length 4 yds, then the longer side is of length

L = 3(4 yds) + 6 yds = 18 yds

4 0
3 years ago
Read 2 more answers
PLZ HURRY<br>Solve for z.<br><br>z<br><br>3<br><br>–3≤<br><br>–<br><br>2
Nimfa-mama [501]

Answer:

z ≤ 1/3

Step-by-step explanation:

3z - 3 ≤ -2        Add 3

3z ≤ 1               Divide by 3

z ≤ 1/3

5 0
3 years ago
Read 2 more answers
The diagram below represents the first three terms of a sequence. Assuming the pattern continues,which formula determines an, th
inysia [295]

We will count number of squares

first term is 4

so, a_1=4

second term is 7

so, a_2=7

third term is 10

so, a_3=10

We can see that this sequence is in arithematic sequence

we can use nth term formula

a_n=a_1+(n-1)d

where

an is nth terms

a1 is first term

d is common difference

n is total number of terms

d=7-4=3

now, we can plug values

and we get

a_n=4+(n-1)*3

a_n=4+3n-3

a_n=1+3n

a_n=3n+1.................Answer


5 0
3 years ago
What is the best answer for choose ing pounds or pint
jasenka [17]
 it depends on how big or small your numb is if bigger pounds if smaller pint
8 0
3 years ago
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