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babymother [125]
3 years ago
5

Help with question 16 ASAP​

Mathematics
1 answer:
Zinaida [17]3 years ago
5 0
What the answer yayyayauahahsusjs
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3 years ago
Inverse Function In Exercise,analytically show that the functions are inverse functions.Then use the graphing utility to show th
Anna [14]

Step-by-step explanation:

We need to show whether

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

or

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

so we'll do either one of them,

we'll convert f(x) to f^-1(x) and lets see if it looks like g(x).

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we can also write it as:

y = e^x - 1

now all we have to do is to make x the subject of the equation.

y+1 = e^x

\ln{(y+1)} = x

x=\ln{(y+1)}

now we'll interchange the variables

y=\ln{(x+1)}

this is the inverse of f(x)

f^{-1}(x)=\ln{(x+1)}

and it does equal to g(x)

g(x)=\ln{(x+1)}

Hence, both functions are inverse of each other!

This can be shown graphically too:

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4 0
3 years ago
Δ HFM- Δ PST What is the perimeter of triangle PST? Enter your answer in the box.
fgiga [73]

Step-by-step explanation:

\triangle HFM \sim \triangle PST... (Given) \\\\\therefore   \frac{HF}{PS}  =  \frac{FM}{ST}  =  \frac{HM}{PT}...(csst) \\  \\ \therefore   \frac{30}{PS}  =  \frac{35}{ST}  =  \frac{45}{9}\\  \\ \therefore   \frac{30}{PS}  =  \frac{35}{ST}  =  \frac{5}{1} \\  \\ \therefore  \frac{30}{PS}  =  \frac{5}{1} \\  \\ \therefore PS =  \frac{30}{5} \\  \\\boxed{ \therefore PS =  6 }\\  \\  \because \: \frac{35}{ST}  =  \frac{5}{1} \\  \\  \therefore \: ST = \frac{35}{5}  \\  \\    \boxed{\therefore \: ST = 7} \\  \\ perimeter \: of \: \triangle PST  \\ = 9 + 7 + 6 \\  = 22 \: units

4 0
3 years ago
Why does the term angle need to be defined prior to defining perpendicular lines?
igor_vitrenko [27]

Perpendicular lines<span> are two or more lines that intersect at a 90-degree angle, like the two lines drawn on this graph, and the x and y axes that orient them.</span>

<span> </span>

8 0
3 years ago
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plzz help me ....the inequality w&gt;3.2 represents the weight of each pumpkin in pounds that is allowed to be picked to be sold
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Is the first 3.2 lbs?
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