Answer:
Step-by-step explanation:
we are given a function
we would like to simplify it for h(-1)
in order to do so
substitute the value of x
by order of PEMDAS
simplify square:
simplify multiplication:
simplify addition:
simplify subtraction:
reduce fraction:
Answer:
Their point of intersection will always be on the line y = x.
Step-by-step explanation:
We have a function f(x) and its inverse is the function f⁻¹(x).
The domain and range of a function replaces each other for the inverse of that function.
So if f(x) and f⁻¹(x) are inverse of each other
and f(a) = b
then a = f⁻¹(b)
Another example to make it clear is that
f(5) = 25
f⁻¹(25) = 5
The function and its inverse will intersect each other at the point where f(x) = f⁻¹(x) which is only possible when a = b.
Hence, a function and its inverse will always intersect at a point on the line x=y.
Answer:
B
Step-by-step explanation:
Answer:
This would be true for a rectangle and a square.
Step-by-step explanation:
Rectangles and square have 90 angles. The exterior angles would also equal 90 because 90 + 90 is 180. An interior angle and the exterior angle are supplements (add together to 180).
Answer: 7 tickets
Step-by-step explanation:
First you need to remove the cost of entrance from the $45 that Hayden has:
= 45 - 8
= $37
The $37 is the amount that is left for Hayden to be able to buy tickets for the raffle.
The tickets cost $5 each so the highest number of tickets that can be bought with $37 is:
= 37 / 5
= 7 tickets