Question

36. A function g is described below

.
g(x) = (x - 3)2 + 1
• The domain of g is all real numbers greater than 0.
The range of g is all real numbers greater than
or equal to -
F. 1
H. -3
G. 3
J. 10

Answer 1

F.

Explanation:

The expression (x - 3)^2 is always >= 0.

The minimum value of g occurs when x = 3 :- that is (3-3)^2 + 1 = 1.

The range of g(x) is all real numbers >= 1.

Answer 2

Answer: F

Explanation:

A square is always positive:

`(x-3)^2 \geq 0\\\\g(x)=(x-3)^2+1 \geq 1\\\\answer\ F\\`