# Domains and Operations of Functions

1. Find the domain of the function. f(x) = -3x + 2

2. Find the indicated function value.f(x) = x - 2, g(x) = x + 1 Find (f + g)(-1).

3. For the pair of functions, determine the domain of f + g. f(x) = 2x + -9, g(x) = 4x + -3

4. For the pair of functions, determine the domain of f + g. f(x) = 4x + 3, g(x) = 3x + 8

5. Use intercepts and a checkpoint to graph the linear function. x + 2y = 6

6. Find the slope of the line that goes through the given points. (-4, 3), (9, -1)

7. Use the slope and y-intercept to graph the linear function. y = -6x

8. Find the slope then describe what it means in terms of the rate of change of the dependent variable per unit change in the independent variable. The linear function f(x) = 3.8x + 22 represents the percentage of people, f(x), who graduated from college x years after 1998.

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#### Solution Preview

1. Find the domain of the function. f(x) = -3x + 2

The domain is all real numbers because it is a linear line.

2. Find the indicated function value.f(x) = x - 2, g(x) = x + 1 Find (f + g)(-1).

f+g=x-2+x+1=2x-1. plug -1 to get (f + g)(-1)=2*-1-1=-3

3. For the pair of functions, determine the domain of f + g. f(x) = 2x + -9, g(x) = 4x + -3

f+g=2x-9+4x-3=6x-12. The domain is all real numbers because it is a linear ...

#### Solution Summary

The solution gives detailed steps on finding the domains of various functions, adding two functions, subtracting two functions and determining the slope and intercepts of the functions. A technique of drawing the functions with given slope and intercept is explained.