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horsena [70]
3 years ago
8

For the real valued functions f(x) = x-4/x-5 and g(x) = 4x+17, find the composition fog and specify its domain using interval no

tation.
(F o g)(x)=
Domain of f o g:

Mathematics
1 answer:
Studentka2010 [4]3 years ago
3 0

Answer:

(f o g)(x) = \frac{4x+13}{4x+12}

Domain : (-∞, -3) ∪ (-3, ∞)

Step-by-step explanation:

Given : f(x) = \frac{x-4}{x-5}

            g(x) = 4x + 17

We have to find the value of (f o g)(x).

Since (f o g)(x) = f[g(x)]

                        = \frac{(4x+17)-4}{(4x+17)-5}

                        = \frac{4x+13}{4x+12}

For the Domain of the function (f o g)(x),

Given function is defined for (4x + 12) ≠ 0

4x ≠ -12

x ≠ -3

Therefore, Domain of the function will be : (-∞, -3) ∪ (-3, ∞)                    

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Mark spends a total of $68.82 for 2 pairs of sneakers with the same cost. The sales tax is $5.32. Mark also uses a coupon for $3
shutvik [7]

Each pair of sneakers cost $33.25

Step-by-step explanation:

Given,

Total spent by Mark = $68.82

Sales tax = $5.32

Coupon used = $3.00

Price without sales tax = Total spent - sales tax

Price without sales tax = 68.82 - 5.32 = $63.50

As Mark used coupon, we will add this amount.

Amount of sneakers = Price without sales tax + Coupon used

Amount of sneakers = 63.50+3.00 = $66.50

As this is price of two sneakers, we will divide it by 2;

Cost of one sneaker = \frac{66.50}{2}=\$33.25

Each pair of sneakers cost $33.25

Keywords: subtraction, addition

Learn more about addition at:

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#LearnwithBrainly

5 0
3 years ago
What is the lowest value of the range of the function
Rasek [7]

The question is incomplete. Below you will find the missing graph.

The lowest value of the range of the function shown on graph is (B) -2.

Graph is the pictorial representation of the function or mathematical relation.

The lowest value of the graph is the value of y when y=f(x) gives the least value.

From the given graph we can clearly see that at x=3 the graph of the given function approaches the least value which is -2.

So the lowest value of the range of the function shown on the graph is -2.

Hence the correct option is (B).

Learn more about Graph here -

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7 0
2 years ago
The center will buy bulk bags of wildflower seed to divide into small packets and
just olya [345]
I need point thx you
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Find the area of this circle. Use 3.14 for pi
aalyn [17]
The area of a circle is given by the formula:

A = \pir^2

Since \pi = 3.14, and r = 6, sub these values into the equation,

A = 3.14 x 6^2
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Svetach [21]

Answer:

Standard form:: Ax + By=C

Step-by-step explanation:

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