F(x)=x^2. What is g(x)

Mathematics

1 answer:

xxTIMURxx [149]3 years ago

4 0

Answer:

$g(x) = \frac14x^2$

Step-by-step explanation:

Since f(x) and g(x) share the same top at (0,0), their difference is only a scale factor, so g(x) = ax² but we need to find a.

To find it, we use the given point of g, (2,1)

So g(2) = 1

meaning that

a·2² = 1

4a = 1

a = 1/4

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