Question

The domain and target set for functions f and g is the set . f ( x ) = x² g ( x ) = ⌈ x / 2 ⌉. Select the correct value for f o g ( -3 / 2 ) .

a. -1
b. 1
c. 0
d. 3

Answer 1

The value of f o g (-3/2) is 1.

Step-by-step explanation:

To find the value of f o g (-3/2), we first need to find the value of g(-3/2) and then substitute it into the function f.

Given that g(x) = ⌈x/2⌉, we can substitute -3/2 into g(x) to get g(-3/2) = ⌈(-3/2)/2⌉ = ⌈-3/4⌉.

Now, let's substitute this value into f(x) = x², so f(g(-3/2)) = (⌈-3/4⌉)².

Since ⌈-3/4⌉ = -1, we have f(g(-3/2)) = (-1)² = 1.

Therefore, the correct value for f o g(-3/2) is 1.