Instructions

DIRECTIONS for the following questions: These questions are based on the situation given below: Let x and y be real numbers

f(x, y) = | x + y |

F(f(x, y)) = -f(x, y)

G(f(x, y)) = -F(f(x, y))

Question 45

Which of the following expressions yields $$x^2$$ as its result?

Solution

F(f(x,-x)) = 0 and G(f(x,-x)) = 0

F(f(x,x)) = -2x and G(f(x,x)) = 2x

F(f(x,x)).G(f(x,x)) = -$$4x^2$$

$$\log_216$$ = 4

=> $$\frac{-F(f(x,x)).G(f(x,x))}{\log_216}$$ = $$x^2$$

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