Question

G(x) is a function as defined below: g(x)=3^(x/2)

If you input -2 into g(x), what do you get for an output?


Enter your answer in the simplest form in the space provided below.


(If your answer is a decimal number, round it to two decimal places.)


Example answer: 42.63

Answer 1

1/3 or 0.33

Explanation:

Put -2 where x is in the function definition and do the arithmetic.

g(-2) = 3^(-2/2)

= 3^(-1)

g(-2) = 1/3

Of course, you know that the decimal equivalent of the fraction 1/3 is the repeating decimal 0.33333.... Rounding this to 2 decimal places gives you ...

g(-2) ≈ 0.33