If f(x) = 4x and g(x) = x^3, then what is f(g(x))? a. 4x+x^3
b. 4x^4
c. 4x^3
d. (4x)^3

f(g(x)) = 4x³

Hence, option C is true.

Step-by-step explanation:

Given

Determine:

f(g(x)) = ?

solving the f(g(x))

f(g(x)) = f(x³)

         = 4x³

Therefore,

f(g(x)) = 4x³

Hence, option C is true.

c.

step-by-step explanation:

because first you have to add the 4x, 9x, and the 7x together and you get 20x and then you add the last numbers up and you get 5and then you put the subtraction sign in there and that's how you get the answer.

55.44 inches

step-by-step explanation:

part a. assuming a perfectly linear relationship, we can find the slope from the first two data points.

slope = m = (change in rainfall)/(change in years)

= (61.80 -62.33)/(2005 -2004) = -0.53/1 = -0.53

then the point-slope form of the equation of the line can be written as

y = m(x -h) +k . . . . . m = -0.53, (h, k) = (0, 62.33)

y = -0.53x +62.33 . . . x = years after 2004

part b. in 2017, x = 2017 -2004 = 13. then the predicted rainfall is

y = -0.53·13 +62.33 = 55.44 . . inches

the predicted rainfall in 2017 is 55.44 in.