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Ivahew [28]
3 years ago
5

Find f(x) and g(x) so the function can be expressed as y = f(g(x)). y=

7D" id="TexFormula1" title="\frac{2}{x^2}" alt="\frac{2}{x^2}" align="absmiddle" class="latex-formula">+3
Mathematics
1 answer:
lisabon 2012 [21]3 years ago
6 0

Answer:

One possible answer is:

f(x) = (2/x) + 3 and g(x) = x².

Step-by-step explanation:

Explanation:

We are to write this equation as y = f(g(x)).  This means we want it to be a composite of functions; in f(x), we take the value of g(x) and use in place of x.

If we let g(x) = x², this means everywhere we see an x in f(x), we will replace it with x².  To make our equation y = 2/x² + 3, working backward we would substitute x for x²; this would give us f(x) = 2/x + 3.

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<span>Answer 61 73-66= 7 21-13 = 8 ?? -52= 9 20-10 = 10 ??=61</span>
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3 years ago
Every month Jordan puts $14 into her bank account. Her grandma puts additional money into Jordan's bank account every month. Aft
vesna_86 [32]

Answer

D $48.00 u need to multiply 216 and 12 to get 48

8 0
2 years ago
Recall the scenario about Eric's weekly wages in the lesson practice section. Eric's boss have been very impressed with his work
Solnce55 [7]

Answer:  

1)\quad f(x)=\bigg\{\begin{array}{ll}12x&0\leq x

2) D: x = [0, 24]

3) R: y = [0, 384]

4) see graph

<u>Step-by-step explanation:</u>

Eric's regular wage is $12 per hour for all hours less than 9 hours.

The minimum number of hours Eric can work each day is 0.

f(x) = 12x    for   0 ≤ x < 9

Eric's overtime wage is $18 per hour for 9 hours and greater.

The maximum number of hours Eric can work each day is 24 (because there are only 24 hours in a day).

f(x) = 18(x - 8) + 12(8)

    = 18x - 144 + 96

    = 18x - 48           for 9 ≤ x ≤ 24

The daily wage where x represents the number of hours worked can be displayed in function format as follows:

f(x)=\bigg\{\begin{array}{ll}12x&0\leq x

2) Domain represents the x-values (number of hours Eric can work).

The minimum hours he can work in one day is 0 and the maximum he can work in one day is 24.

D:  0 ≤ x ≤ 24        →        D: x = [0, 24]

3) Range represents the y-values (wage Eric will earn).

Eric's wage depends on the number of hours he works. Use the Domain (given above) to find the wage.

The minimum hours he can work in one day is 0.

f(x) = 12x

f(0) = 12(0)

     =  0

The maximum hours he can work in one day is 24 <em>(although unlikely, it is theoretically possible).</em>

f(x) = 18x - 48

f(24) = 18(24) - 48

       = 432 - 48

       = 384

D:  0 ≤ y ≤ 384        →        D: x = [0, 384]

4) see graph.

Notice that there is an open dot at x = 9 for f(x) = 12x

and a closed dot at x = 9 for f(x) = 18x - 48

6 0
3 years ago
Please help me...I gotta get this right for my test. (15 points)
ss7ja [257]

Answer:

negative slope

Step-by-step explanation:

you have to subtract

8 0
3 years ago
Read 2 more answers
What is the number whose 4/5 is 144?​
anyanavicka [17]

Answer:

180

Step-by-step explanation:

Multiply 144 by the reciprocal of \frac{4}{5}, that is

The reciprocal of \frac{4}{5} is \frac{1}{\frac{4}{5} } = \frac{5}{4}, then

\frac{5}{4} × 144 = \frac{5(144)}{4} = 180

3 0
3 years ago
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