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IgorC [24]
3 years ago
9

Determine if the two functions f and g are inverses of each other

Mathematics
1 answer:
Margarita [4]3 years ago
5 0

Answer:

Yes.

Step-by-step explanation:

f(g(x))

f(\frac{x-12}{9})  

( I will have to replace all x's in 9x+12 with (\frac{x-12}{9})

9(\frac{x-12}{9})+12

(x-12)+12

x-12+12

x+(-12+12)

x+0

x

So the answer is yes.

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$1500 is invested at a rate of 3% compounded monthly. Write a compound interest function to model this situation. Then find the
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Answer:

<u>Equation</u>:  F=1500(1.0025)^{12t}

<u>The balance after 5 years is:  $1742.43</u>

<u></u>

Step-by-step explanation:

This is a compound growth problem . THe formula is:

F=P(1+\frac{r}{n})^{nt}

Where

F is future amount

P is present amount

r is rate of interest, annually

n is the number of compounding per year

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Given:

P = 1500

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n = 12 (compounded monthly means 12 times a year)

The compound interest formula modelled by the variables is:

F=1500(1+\frac{0.03}{12})^{12t}\\F=1500(1.0025)^{12t}

Now, we want balance after 5 years, so t = 5, substituting, we get:

F=1500(1.0025)^{12t}\\F=1500(1.0025)^{12*5}\\F=1500(1.0025)^{60}\\F=1742.43

<u>The balance after 5 years is:  $1742.43</u>

3 0
3 years ago
Evaluate the functionf(-x) = f(x) plug in the points (2,1) then solve
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Problem

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Step-by-step explanation:

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