Math  /  Algebra

QuestionAnswer all of the following questions. (1) What is the domain of f(x)=3x+4f(x)=\frac{3}{x+4} ? Explain how you reached your conclusion. (2) Consider the graph of f(x)=3x+4f(x)=\frac{3}{x+4} shown below. What do you think is the range of f(x)f(x) ?

Studdy Solution
Thus, the range of f(x) f(x) is all real numbers except y=0 y = 0 . In interval notation, this is (,0)(0,) (-\infty, 0) \cup (0, \infty) .
The domain of f(x) f(x) is (,4)(4,) (-\infty, -4) \cup (-4, \infty) .
The range of f(x) f(x) is (,0)(0,) (-\infty, 0) \cup (0, \infty) .

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