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Question 688080: Find the domain of the functions and express the answer in interval notation. Explain in words or show the calculations for full credit.
a) f(x)=10x+1
b) g(x)=6x^2-9x
c) f(x)=13/(x+9)
d) g(x)=√7x - 14
e) f(x)=2x^2/x + 11
(can you answer a through e of the problems)thankyou
Answer by lwsshak3(11628)   (Show Source):
You can put this solution on YOUR website! Find the domain of the functions and express the answer in interval notation. Explain in words or show the calculations for full credit.
a) f(x)=10x+1
This is a straight line with slope 10 and y-intercept=1
domain: (-∞,∞)
..
b) g(x)=6x^2-9x
this is a parabola that opens upwards
domain: (-∞,∞)
..
c) f(x)=13/(x+9)
this function has a vertical asymptote x=-9
domain: (-∞,-9) U (-9,∞)
..
d) g(x)=√7x - 14
this is a sqrt function which starts at 0
domain: [0,∞)
..
e) f(x)=2x^2/x + 11
this function has a vertical asymptote x=-11, and a slant asymptote
domain: (-∞,-11) U (-11,∞)
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