Which function below grows at the fastest rate for increasing values of x?

h (x) = 6x2+1

f (x) = 9x+14

g (x) = 4x

j (x) = 200x+5

In order to solve which will have the fastest rate, then we will assume a value of x. so let assume that x = 100

a.) h (x) = 6x^2+1

h (x) = 6 (100) ^2 + 1

h (x) = 60001

b. f (x) = 9x+14

f (x) = 9 (100) + 14

f (x) = 914

c. g (x) = 4x

g (x) = 4 (100)

g (x) = 400

d. j (x) = 200x + 5

j (x) = 200 (100) + 5

j (x) = 200005

so the answer is

j (x) = 200x + 5