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4vir4ik [10]
3 years ago
15

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

Mathematics
2 answers:
zepelin [54]3 years ago
6 0

Answer:

The answer is 3

Step-by-step explanation:

I took the quiz

(Please give me brainiest)

yan [13]3 years ago
3 0

Answer:

The value of k is 3.

Step-by-step explanation:

The function f(x) passes through the points (0,4) and (-6,-2)

So the equation of the function is \frac{y-4}{4-(-2)} = \frac{x-0}{0-(-6)}

⇒ y = x + 4 ....... (1)

Again the function g(x) passes through the points (0,4) and (-2,-2).

Therefore, the equation of g(x) will be  \frac{y-4}{4-(-2)} =\frac{x-0}{0-(-2)}

⇒ y = 3x + 4

Therefore, g(x) = 3x + 4 = f(3x) {from equation (1).

So, the value of k is 3. (Answer)

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