Given the functions f(x) = 7x + 13 and g(x) = x^2 + 2, which of the following functions represents f[g(x)] correctly?
f[g(x)] = 7x^2 + 27
f[g(x)] = 7x^2 + 15
f[g(x)] = 49x^2 + 182x + 169
f[g(x)] = 49x^2 + 182x + 171

f(g(x)) = x^2 + 27.

Step-by-step explanation:

To find f(g(x))  we replace the x in  f(x) by g(x) and simplify:

f(g(x)) =   7(x^2 + 2) + 13

= 7x^2 + 14 + 13.

= 7x^2 + 27.

f(x) has value 150 at x= 0

and 0 at x= 3

so d(f(x))/dt = slope = -150/3 = -50

the ratio of balloons to tables is 5: 2 and the constant variation is 5.

the equation is y=5x