math21wa1

# math21wa1 - 3 4 5 6 7 8 9 10 = gx x 1x2 8x 7 11 The domain...

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ne. The domain of f is all real numbers except seven and negative one. There are no values that ( ) f x cannot be x2+6x-7=0 x+1x-7=0 x=-1, 7 Domain of f is ∈ , ≠- , xx R x 1 7 - ,-1 -1, 7 (7, + ) ∞ ∪ x2+8x+7=0 x+1x+7=0 x=-1, -7 -82+8-8+7=7 -42+8-4+7=-9 02+80+7=7 Domain of g is ∈ ,- > >- x|x R 7 x 1 (- ,-7) (-1,+ ) ll real numbers greater than negative one or less than negative seven. The range of the function is all real num 1) = + + - fx x 1x2 6x 7 2) The domain of this function is all real numbers except those that make the denominator ( + - x2 6x 7 ) equal to zero. In order to find these values of x, you must solve the denominator for x by setting the denominator to zero and factoring.
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Unformatted text preview: 3) 4) 5) 6) 7) 8) 9) 10) = + + + gx x 1x2 8x 7 11) The domain of this function is all real numbers except those that make the polynomial under the radical less than or equal to zero. This is because you cannot take the square root of a zero or a negative number. To find these values of x, you must solve the polynomial under the radical for x by setting the polynomial equal to zero and factoring. You must then test values in the interval between the two roots and the intervals between the two roots between positive and negative infinity. If a value in any of the intervals is zero or negative, this interval is not part of the domain. 12) 13)...
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