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3 years ago

How do I solve for x

Mathematics

1 answer:

Aleonysh [2.5K]3 years ago

7 0

Try multiplying all of your numbers together

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If h(x)=(fog)(x) and h(x)=³√x+3, find g(x) if f(x) =³√x+2

ipn [44]

Answer:

$g(x)=x+1$

The problem:

Find $g(x)$ if $h(x)=(f \circ g)(x)$ ,

$h(x)=\sqrt[3]{x+3}$ , and

$f(x)=\sqrt[3]{x+2}$ .

Step-by-step explanation:

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

$h(x)=f(g(x))$

Replace $x$ in $f(x)=\sqrt[3]{x+2}$ with $g(x)$ since we are asked to find $f(g(x))$ :

$\sqrt[3]{x+3}=\sqrt[3]{g(x)+2}$

$\sqrt[3]{x+1+2}=\sqrt[3]{g(x)+2}$

This implies that $x+1=g(x)$

Let's check:

$(f \circ g)(x)$

$f(g(x))$

$f(x+1)$

$\sqrt[3]{(x+1)+2}$

$\sqrt[3]{x+1+2}$

$\sqrt[3]{x+3}$ which is the required result for $h(x)$ .

6 0

2 years ago

Patrick’s luck had changed over night – but not his skill at mathematical reasoning. The day after graduating from college he us

Verdich [7]

Answer:

I assume Josh and Peyton are his friends and both gave him advice on what to do with half of the money from the big lottery win.

Let's say Josh said "save it or invest it for your retirement" and Peyton said "use it to keep playing the lottery.

We will now look at the sense in each piece of advice!

Step-by-step explanation:

JOSH

By investing the $250,000 (half of the money won), Patrick will be sure that the money is available for him anytime and would even have gotten interest, by the time he's ready to use it.

PEYTON

By playing the lottery continuously, Patrick could get lucky once in a while and win big again. How big though?

Analyzing with the figures given,

$20 gets Patrick a lottery ticket.

$250,000 will get him 12,500 lottery tickets!

Whether he's buying the tickets at once or he'll play the lottery once in a while, I'll say he has good chances of winning big again.

So if the probability of winning big after purchasing up to 12,500 tickets is close to 1, Patrick should play the lottery with the $250,000

If the probability of winning big after purchasing 12,500 lottery tickets is close to 0 (closer to 0 than it is to 1) then Patrick should invest the $250,000 in retirement.

5 0

3 years ago

Omplete the statement. Round to the nearest hundredth if necessary.<br><br> 75.2 in. ≈≈ cm

salantis [7]

The total is 191.008 centimeters.

4 0

3 years ago

PLZ HURRY IT'S URGENT!!!!!!!!!!

ICE Princess25 [194]

$\: \: \: \frac{9}{12} \\ = \frac{3 \times 3}{3 \times 4} \\ = \frac{3}{4} \\ = \frac{3}{4} \times 1 \\ = \frac{3}{4} \times \frac{2}{2} \\ = \frac{6}{8} = \frac{3}{4}.$

So, Option C is the correct answer.

Hope this will help you.

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8 0

2 years ago

Read 2 more answers

What is the reference angle for a 240 degree angle?

Veronika [31]

The reference angle for 240° is 60° because 240 is in quadrant III. If you were to subtract 240 from 180 you’d get 60.

5 0

2 years ago