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Genrish500 [490]
3 years ago
13

F(x)=x^2 what is g(x)?

Mathematics
1 answer:
Umnica [9.8K]3 years ago
8 0

Answer:

B

Step-by-step explanation:

You are given that a valid point on g(x) is (4,1) or y=1 when x=4

Substitute this point into each of the choices and see which one is valid.

A : g(x) = \frac{1}{4}x² = (1/4) (4²) = 4 ≠ 1 (not valid)

B: g(x) = [(1/4) x]² = [(1/4) 4]² = 1² = 1 (valid)

C: g(x) = 4x² = 4 (4²) = 64 ≠ 1 (not valid)

D: if you expand it out, you'll find that this is identical to option A which we determined earlier to be not valid.

Hence the only valid choice is B

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