F(a, b) and G(a, b) are defined as follows:
F(a, b) = (a - b)^2
G(a, b) = |a - b|, where |x| represents the absolute val...

Question

F(a, b) and G(a, b) are defined as follows:
F(a, b) = (a - b)^2
G(a, b) = |a - b|, where |x| represents the absolute value of x.

What would be the value of G(F(1, 3), G(1, 3))?

A. 2   B. 4   C. 6   D. 36

Accepted Answer

G(F(1,3), G(1,3)) = 2, so the answer is A. 2. We have two functions: F squares the difference of two inputs, and G takes the absolute value of the difference. We must first evaluate F(1,3) and G(1,3) as separate inputs, then plug both results into G again. Working from the inside out, step by step, is the key skill here.

F(a, b) and G(a, b) are defined as follows: F(a, b) = (a - b)^2 G(a, b) = |a - b|, where |x| represents the absolute value of x. What would be the value of G(F(1, 3), G(1, 3))? A. 2 B. 4 C. 6 D. 36