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likoan [24]
3 years ago
12

If f(x)=5x-25 and g(x) = 5x+5, which expression could be used to verify g(x) is the inverse of fx)?

Mathematics
1 answer:
7nadin3 [17]3 years ago
7 0

Answer:

g(x) is not the inverse of f(x)

Step-by-step explanation:

If f(x)=5x-25 and g(x) = 5x+5, which expression could be used to verify g(x) is the inverse of fx)

We need to show that f(g(x)) = g(f(x))

f(g(x)) = f(5x+5)

f(5x+5) = 5(5x+5) - 25

f(5x+5) =25x+25 - 25

f(5x+5) = 25x

f(g(x)) = 25x

Similarly;

g(f(x)) = g(5x-25)

g(5x-25) = 5(5x-25) + 5

g(5x-25) = 25x - 125 + 5

g(5x-25) = 25x - 120

This shows that g(x) is not the inverse of f(x)

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so the order is 

-14.4 , -14 1/5 , -14.

8 0
3 years ago
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EastWind [94]

Answer:

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Step-by-step explanation:

3 0
3 years ago
<img src="https://tex.z-dn.net/?f=%20-%2030%20%3D%202%28x%20-%2097%29" id="TexFormula1" title=" - 30 = 2(x - 97)" alt=" - 30 = 2
Korolek [52]
Hey there! 

In order to find out the answer to this question, we can distribute 

-30 = 2(x - 97) \\ \\ \\ 2(x) = 2x \\ \\ 2(97) = 197

Flip your problem around! 

2x - 194 = -30

Add by 194 on each of your sides 

Like:  2x - 194 + 194 \\ \\ \\ -30 + 194

Cancel out: -194 + 194  because they would give you the outcome of 0

Keep: -30 + 194 [/tex] because that'll give you: [tex]164

Your problem becomes: 2x = 164

Now, we have to divide by 2 on each of the sides

Like: \frac{2x}{2}  =  \frac{164}{2}

Cancel: \frac{2x}{2} because it will give you a outcome of 1

Keep: \frac{164}{2} because this will give you your answer

Answer: x = 82

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)
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3 years ago
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Semenov [28]

Answer: y = 1

Step-by-step explanation:

9x + (3 x 1) = 12

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