F(x)=3x+1 and g(x)= x^2-6 find (f•g)(x)

Step-by-step explanation:

It never occurred to me that the closed circle meant multiplication. The most common symbol for multiplication here is *. If that is what is meant (closed circle = multiplication) then my answer is wrong.

f(x) = 3x + 1

g(x) = x^2 - 6

f(x)(g(x)) = (3x + 1)(x^2 - 6)

f(x)(g(x)) =  3x^3 - 18x + x^2 + 6 or more properly

f(x)(g(x)) = 3x^3 + x^2 - 18x - 6

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.

5 + 8 +7 + 4 + 0 +1 = 25

step-by-step explanation: