A College Algebra instructor assigned a different function to each of the following students and asked...

 

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A College Algebra instructor assigned a different function to each of the following students and asked them to determine its domain, using only the given equation (ie. not a graph). Use the idea presented by each student to find the domain of each function. Write your answer in interval notation. a) k(x) =-e b) w(x) = -9-x (x-1)(*+2) "Iknow I can't divide by 0, so the bottom of the fraction can't be 0." "The stuff under the radical sign has to be 0 or bigger, so I need to figure out what values of x make -9 - x bigger than or equal to 0." ) g(x) = log(3x? +5) a) jk) = 3(x-)(+5) "The input of a log has to be positive, so I just need to figure out what makes 3x +5 greater than zero." "If I multiply this out, I get a quadratic function, and I already know the domain of a quadratic function." A College Algebra instructor assigned a different function to each of the following students and asked them to determine its domain, using only the given equation (ie. not a graph). Use the idea presented by each student to find the domain of each function. Write your answer in interval notation. a) k(x) =-e b) w(x) = -9-x (x-1)(*+2) "Iknow I can't divide by 0, so the bottom of the fraction can't be 0." "The stuff under the radical sign has to be 0 or bigger, so I need to figure out what values of x make -9 - x bigger than or equal to 0." ) g(x) = log(3x? +5) a) jk) = 3(x-)(+5) "The input of a log has to be positive, so I just need to figure out what makes 3x +5 greater than zero." "If I multiply this out, I get a quadratic function, and I already know the domain of a quadratic function."