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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.

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.

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