Question

If f(x)=3x-1 and g(x)=2x2-3, fill in the blank f(2) _____ 9(3)?

1.<
2. >
3.< with line under
4.> with line under

Answer 1

f(2) < g(3)

The correct option is;

1. <

Explanation:

The given function parameters are;

f(x) = 3·x - 1, g(x) = 2·x² - 3

For f(x) = 3·x - 1, when x = 2, we have;

f(2) = 3·x - 1 = 3 × 2 - 1 = 5

For g(x) = 2·x² - 3, when x = 3, we have;

g(3) = 2 × 3² - 3 = 18 - 3 = 15

Therefore, we have;

f(2) = 5 < g(3) = 15

Which gives;

f(2) < g(3)