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Alecsey [184]
3 years ago
8

If f(x) = 2x - 1 and g(x) = x^2 - 2, find [g · f](x) please show me how to do this

Mathematics
2 answers:
larisa [96]3 years ago
5 0

Answer:

(x² -7)/(2x + 1)

Step-by-step explanation:

f(x) = 2x+1 and g(x) = x² -7

thus: (g/f)(x) = g(x)/f(x) = x² -7/2x + 1

AleksandrR [38]3 years ago
5 0
<h2>Hello!</h2>

The answer is:

(g \circ f)(x)=4x^{2}-4x-1

<h2>Why?</h2>

To solve the problem, we need to remember that composing functions means evaluate a function into another different function.

Also, we need to remember how to solve the following notable product:

(a-b)^{2}=a^{2}-2ab+b^{2}

We have that:

(g \circ f)(x)=g(f(x))

Now, we are given the equations:

f(x)=2x-1\\g(x)=x^{2}-2

So, composing we have:

(g \circ f)(x)=g(f(x))

(g \circ f)(x)=(2x-1)^{2}-2

Now, we have to solve the notable product:

(g \circ f)(x)=((2x)^{2}-2(2x*1)+1^{2})-2

(g \circ f)(x)=4x^{2}-4x+1-2

Hence, we have that:

(g \circ f)(x)=4x^{2}-4x-1

Have a nice day!

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Last week Martha sold brownies. And cookies at a back sale she sold 60 bowlines and 42 cookies on Saturday and 28 brownies and 5
elena55 [62]

Answer:

Martha earns $65.6 over the weekend.

Step-by-step explanation:

Brownies sold by Martha on Saturday = 60

Cookies  sold by Martha on Saturday = 42

Brownies sold by Martha on Sunday = 28

Cookies  sold by Martha on Sunday = 54

Total brownies sold by Martha over the weekend = 60+28=88

Total cookies sold by Martha over the weekend = 42+54=96

Cost of a brownie = $0.20

Cost of a cookie = $0.50

Total cost of brownies sold over the weekend = 88\times \$0.20 = \$17.6

Total cost of cookies sold over the weekend = 96\times \$0.50 = \$48

∴ Total money Martha earned over the weekend = \$17.6+\$48=\$65.6 (Answer)

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3 years ago
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Not sure what your asking here
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A car can travel 150 miles on 4 gallons of petrol. How far can it travel on 6 gallons?
Ket [755]

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6 0
2 years ago
Which value of x satisfies the inequality 108/x less than 8
Zolol [24]
108                                                                          27
------ < 8, or    108 < 8x, or    (108/8) < x, or    x > -----
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Find the median of each set of data.
Tatiana [17]

Answer:

Step-by-step explanation:

<em>Set 1:</em>  12, 8, 6, 4, 10,1

Now find mean of 6 and 4:

(6+4)/2=10/2:

5 << answer of set 1

<em>Set 2: </em>6,3,5, 11, 2, 9,5,0

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32.5

Sorry I was late to answer your question, but hope it helps!

Feel free to comment down below if you have any questions!

3 0
3 years ago
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