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Nesterboy
12 days ago
7

How do the graphs of the functions f(x) = (Three-halves)x and g(x) = (Two-thirds)x compare?

Mathematics
2 answers:
tester [3.9K]12 days ago
8 0

Answer:

To summarize the answer:

Step-by-step explanation:

Given:

\bold{f(x)= (\frac{3}{2})^x}\\\\\bold{g(x)= (\frac{2}{3})^x}\\

Here is the graph associated with this question:

The second function, denoted as g(x)= (\frac{2}{3})^x, does not qualify as a function.

Keep in mind that the g(x) function is the inversion of the f(x) function. Recognizing this pattern indicates a reflection on the Y-axis.

Reflection on the axes:

In the x-axis:

Enhance the function by -1 to illustrate an exponential curve around the x-axis.

In the y-axis:

Decrease the input of the function by -1 to depict the exponential function around the y-axis.

lawyer [4K]12 days ago
4 0

Answer:

The graphs are mirrored around the y-axis. The graph of g(x) exhibits exponential decay, while the graph of f(x) reflects exponential growth.

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11 days ago
What is the quotient (x3 – 3x2 + 3x – 2) ÷ (x2 – x + 1)?
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We have to calculate the result of the division problem.

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5 0
10 days ago
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Answer:

17/4 kg

Step-by-step explanation:

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11 days ago
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