The function h(x) is defined as shown.
h(x) = x+2 x< 3
-x+8 x≥3
what is the range of h(x)?
a.–∞ < f(x) < ∞
b. f(x) ≤ 5
c. f(x) ≥ 5
d. f(x) ≥ 3

hello from mrbilldoesmath!

answer:

25x^2 + 90x + 84

discussion:

mn(x) = m(n(x)) = m( 5x + 9) =

(5x + 9)^2 + 3 =>

25x^2 + 90x + 9^2 + 3 =

25x^2 + 90x + 84                 (as 9^2 = 9*9 = 81)

which is the second choice

regards,  

mrb

p.s.   i'll be on vacation from friday, dec 22 to jan 2, 2019. have a great new year!