Step-by-step explanation:
come in ! think a little bit by yourself !
when x = 1, what is f(x) ?
it is f(1) = 1² = 1
what is then g(x) ?
g(1) = 1/4 × f(1) = 1/4 × 1 = 1/4
when x = 2, what is f(x) ?
f(2) = 2² = 4
what is then g(x) ?
g(2) = 1/4 × f(2) = 1/4 × 4 = 1
and equally for x = -1 and -2.
a square function always delivers positive numbers. and so does the square function multiplied by a positive constant (like for g(x)).
the only graph, where the curve is always above the x-axis (only positive results), and where the functional value for x = 1 is much smaller than 1, and the functional value for x = 2 is actually 1, is graph D.
so, D is the right answer.
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