Find the domain of f/g.

A.
B.
C.
D.
​

C. All real numbers except .

Step-by-step explanation:

The domain of all polynomials is the set of all real numbers, whereas the domain of rational-polynomic functions are the set of all numbers expect for those values of so that denominator becomes zero. Hence, we need to solve for from following expression:

The domain of the function is all real numbers except . (Right C)

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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.