The domain of both f(x) = x - 6 and g(x) = x + 6 is all real numbers. What is the domain of h(x) = f(x)/g(x)?
1 answer:
This is a quotient (division) of two functions we must be concerned with the fact that division by zero is undefined.
Since g(x) is in the divisor position, it cannot equal 0.
Subtract 6 from both sides to solve.
So the domain is all real numbers except -6
Set notation {x | x ∈ R, x ≠ -6}
Interval notation (-∞,-6)∪(-6,∞)
Since g(x) is in the divisor position, it cannot equal 0.
So the domain is all real numbers except -6
Set notation {x | x ∈ R, x ≠ -6}
Interval notation (-∞,-6)∪(-6,∞)
You might be interested in
Answer:
There are 80 marks in total.
Step-by-step explanation:
Let the number of total marks be .
The percentage score of the student can be written as the ratio
.
However,
.
Equating the two:
.
Cross-multiply (that is: multiple both sides by , the product of the two denominators) to get
.
.
In other words, there are 80 marks in total.