(90 ! and brainliest) answer these math problems

see explanation

Step-by-step explanation:

(2)

(f • g)(x) = f(x) × g(x), that is

(4x - 1)(x² - 5x + 3)

= 4x(x² - 5x + 3) - 1 (x² - 5x + 3) ← distribute parenthesis

= 4x³ - 20x² + 12x - x² + 5x - 3 ← collect like terms

= 4x³ - 21x² + 17x - 3

(3)

Factor both g(x) and f(x)

g(x) = 3x - 12 = 3(x - 4) ← common factor of 3

f(x) = x² + x - 20 = (x + 5)(x - 4), thus

=

Cancel the factor (x - 4) on the numerator and denominator

=

The denominator cannot be zero as this would make rational function undefined, thus

domain is x ∈ R , x ≠ - 5

(4)

To evaluate (g ￮ h)(7), evaluate h(7) then use this result to evaluate g(x)

h(7) = 7 - 2 = 5, then

g(5) = 5² + 3 = 25 + 3 = 28

step-by-step explanation:

. your answer will contain x - and y -terms. (1 point) x ( ¿¿ 2 − 7 ) 2 +( y 2 − 9 ) 2 √ ¿ 12. what is the distance from the directrix (the crocodile river) to the point ( x , y )? write this equation. your answer will contain a y -term.