2. =
Two functions are defined on the set of real numbers by
f(x) = x2 - 2, g(x) = 2x + 1
a) Show that f(g(x)) = 4x2 + 4x - 1.
b) Show that the equation
f(g(x)) = g(f(x))
has real, equal roots.

the correct option is:

b. a value of the variable that makes the polynomial equal to zero.

the root or roots of a polynomial are the values of the variable that makes the polynomial equal to 0. we can find the roots of a polynomial making the expression equal to 0 and then, isolating the variable (it it has just one variable).

for example, given the following polynomial:

the root or zero of the polynomial, can be found by making the expression equal to 0, and then, isolating the variable, so, finding the root we have:

therefore, we have that the root of the polynomial is equal to 2.

we must remember that the number of roots that a polynomial can have, will depend on the degree of the polynomial, a first degree polynomial have will have one single root, a second degree polynomial (quadratic expression) may have two roots and so.

hence the correct option is:

b. a value of the variable that makes the polynomial equal to zero.

have a nice day!

if e is the midpoint of bd, then bd is 14.

step-by-step explanation: