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If f(x)=(x+1)^−1 and g(x)=x−2, what is the domain of f(x)÷g(x)?
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all values of x (−∞,−1),(−1,2), and (2,∞) (−∞,2) and (2,∞) (−∞,−1] and [2,∞)
first off, can you write the function f(x) ÷ g(x)?
i dont know.
\[f(x) \div g(x)=(x+1)^{-1}\div (x-2)=\frac{ 1 }{ x+1 }\div (x-2)\]
do the division to right that as a single fraction.
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i have no clue how to do any this
do you know how to divide fractions? because that's what this is...
no
you need to flip the (x-2) part to it's reciprocal and change the division sign to multiplication, then just multiply across like these examples. |dw:1436549101824:dw|
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