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.

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.

oobleck · Answer

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)

name · Answer

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

oobleck · Answer

right you are my bad

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.