If f(x) = 6x2 - 4 and g(x) = 2x+ 2, find (f - g)(x).
o a. 6x2 - 2x - 6
o b. 6x2 - 2x-2
o c. 44²-6
o d. 2x - 5x2 - 2

A

Step-by-step explanation:

Note that (f - g)(x) = f(x) - g(x)

f(x) - g(x)

= 6x² - 4 - (2x + 2) ← distribute parenthesis by - 1

= 6x² - 4 - 2x - 2 ← collect like terms

= 6x² - 2x - 6 → A

A.  6x^2 - 2x - 6.

Step-by-step explanation:

( f - g)(x)

= 6x^2 - 4 - (2x + 2)

= 6x^2 - 4 - 2x - 2

= 6x^2 - 2x - 6.

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions

let m = monomial

let t = trinomial

so, m times t = t.

monomial times a trinomial = another trinomial.