Question

Write the function d(t) = sqrt(90^2 + (90 − 16t)^2) as a composition. d(t) = f(g(t)), where g(t) = at2+bt+c is a quadratic function; find a, b, c.

Answer 1

g(t) = 90^2 + (90 − 16t)^2 = 256t^2 - 2880t + 8100
f(t) = √t

d(t) = f(g(t)) = √g(t) = √(256t^2 - 2880t + 8100)

Answer 2

i got 16200 for the value of c because are you suppose to add 90^2 to 8100

Answer 3

right you are
my bad