Let f (x) = x4 + 4x3 – 2x2 – 12x + 9, g of x is equal to the square root of the quantity x squared plus 2 times x minus 3 end quantity and h of x is equal to the quantity negative x squared plus 1 end quantity over the quantity x squared plus 2 times x minus 3 end quantity. Part A: Use complete sentences to compare the domain and range of the polynomial function f (x) to that of the radical function g(x). Part B: How do the breaks in the domain of h(x) relate to the zeros of f (x)?
Let f (x) = x4 + 4x3 – 2x2 – 12x + 9, g of x is equal to the square root of the quantity x squared plus 2 times x minus 3 end quantity and h of x is equal to the quantity negative x squared plus 1 end quantity over the quantity x squared plus 2 times x minus 3 end quantity. Part A: Use complete sentences to compare the domain and range of the polynomial function f (x) to that of the radical function g(x). Part B: How do the breaks in the domain of h(x) relate to the zeros of f (x)?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Let f (x) = x4 + 4x3 – 2x2 – 12x + 9, g of x is equal to the square root of the quantity x squared plus 2 times x minus 3 end quantity and h of x is equal to the quantity negative x squared plus 1 end quantity over the quantity x squared plus 2 times x minus 3 end quantity.
Part A: Use complete sentences to compare the domain and range of the polynomial function f (x) to that of the radical function g(x).
Part B: How do the breaks in the domain of h(x) relate to the zeros of f (x)?
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