SOLUTION: I have been trying to figure out how to solve this function. Most of my problem is not knowing the steps to take to get the correct answer they are wanting. f(x)=8/x, g(x)=9x^2-

Algebra ->  Functions -> SOLUTION: I have been trying to figure out how to solve this function. Most of my problem is not knowing the steps to take to get the correct answer they are wanting. f(x)=8/x, g(x)=9x^2-      Log On


   



Question 249111: I have been trying to figure out how to solve this function. Most of my problem is not knowing the steps to take to get the correct answer they are wanting.
f(x)=8/x, g(x)=9x^2-5
The answers are
A) {x[x is a real number and x not equal to -9
b) {x[x is a real number and x not equal to 5
c) {x[x is a real number
d) {x[x is a real number and x not equal to 0
Please help me!!

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
f(x)=8/x, g(x)=9x^2-5
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Notice: x cannot be 0 because of 8/x, so g(x) cannot be -5.
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f*g(x) = f(x)*g(x) = (8/x)(9x^2-5) = 72x -(40/x)

The answers are
A) {x[x is a real number and x not equal to -9
b) {x[x is a real number and x not equal to 5
c) {x[x is a real number
d) {x[x is a real number and x not equal to 0
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Answer: d
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Cheers,
Stan H.
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