Which statement is true about the relative areas of triangle ABC and triangle XYZ is true
2 answers:
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The function has an inverse that is also a function is g(x) = 2x – 3.
The correct option is A.
We have to determine
Which function has an inverse that is also a function?
<h3>Inverse function;</h3>The inverse of a function is the equation where x and y have switched places.
If when you solve for y again, the function passes the vertical line test, the inverse if a function.
1. Here g(x) = 2x - 3 has inverse x = 2y - 3 which simplifies to;
This is a line and is a function;
2. k(x) = -9x^2 has the inverse x = -9y^2 which simplifies to;
This is a function but only for certain values of x.
3. f(x) = |x+2| is an absolute value function.
All absolute value functions do not have inverses which are functions.
4. w(x) = -20 does not have an inverse which is a function.
Hence, the function has an inverse that is also a function is g(x) = 2x – 3.
To know more about inverse function click the link given below.
Answer: Consider a power set of real numbers.
The subsets of the power set are as follows:-
1. Natural number()={1,2,3,4,5,....}
2.Whole numbers={0,1,2,3,4,......}
3.Integers()={.......-3,-2,-1,0,1,2,3,....}
4.Rational numbers()=It contains all of the above subsets and fractions (where denominator ≠ 0) ,terminating and repeating decimals.
5.Irrational numbers=It contains numbers which cannot be expressed as the ratio of integers, and they are non-repeating, non-terminating decimals.
