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Kamila
1 month ago
15

Given f(x) and g(x) = f(k⋅x), use the graph to determine the value of k.

Mathematics
2 answers:
Inessa [12.5K]1 month ago
6 0

Answer:

The value is 3.

Step-by-step explanation:

I completed the quiz.

(Please provide the brainliest answer.)

Svet_ta [12.7K]1 month ago
3 0

Answer:

The value for k is 3.

Detailed explanation:

Function f(x) passes through points (0,4) and (-6,-2).

Thus, the equation for f(x) is \frac{y-4}{4-(-2)} = \frac{x-0}{0-(-6)}

which simplifies to y = x + 4 (equation 1).

Function g(x) passes through points (0,4) and (-2,-2).

Hence, g(x) follows the equation \frac{y-4}{4-(-2)} =\frac{x-0}{0-(-2)}

which reduces to y = 3x + 4.

Since g(x) = f(kx), and from equation (1), g(x) = 3x + 4 equals f(3x),

we determine that k equals 3. (Final answer)

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Hello!

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Solution:

The ratio is expressed as 4 to 1.

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Answer:

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I hope this has been helpful! Best of luck!

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