Let f(x) = 2x2 and g(x) = x2-1. Then f(g(2)) =
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A complex number is a part of a number system that includes a real unit and an imaginary unit. All the statements are true except C and E.
<h3>What is a Complex Number?</h3>A complex number is a part of a number system that includes the real numbers as well as a particular element labelled i, sometimes known as the imaginary unit, and which obeys the equation i² = 1.
As it is given that x=(a+bi), y=(c+di), and z=(f+gi), therefore, we need to plug in the values to check which all are true.
A.) x+y=y+x
As the two sides of the equation are equal, the equation is true.
B.) (x × y) × z = x × (y × z)
As the two sides of the equation are equal, the equation is true.
C.) x−y=y−x
As the two sides of the equation are not equal, the equation is not true.
D.) (x+y)+z=x+(y+z)
As the two sides of the equation are equal, the equation is true.
E.) (x−y)−z=x−(y−z)
As the two sides of the equation are not equal, the equation is not true.
Hence, all the statements are true except C and E.
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