Answer:
all real numbers except ±5.
Step-by-step explanation:
Each function (f(x), g(x)) has a domain that is all real numbers. Their quotient (f(x)/g(x)) must exclude values that make g(x) = 0. The quotient is undefined when the denominator is zero. Those excluded values are x = ±5.
The domain of (f/g)(x) is all real numbers except ±5.
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Of course you recognize x^2 -25 = 0 has solutions x = ±√25 = ±5. You can get there two ways:
- add 25 and take the square root: x^2=25; x=±√25.
- factor the difference of squares and set the factors to zero: (x-5)(x+5)=0 has solutions x-5=0 and x+5=0, that is, x = ±5.
A cube represents 1,000 and a flat 100. You can solve this problem by saying the number out loud. "One thousand, two hundred." That means that you need one thousand (cube) and two hundreds (flat). So one cube and two flats will be 1,000+100+100, which equals 1,200.
Answer:
c=-2
Step-by-step explanation:
Equation: -7c+2=16
-7c=16-2
-7c=14
c=14/-7
c=-2
