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:
1 and 1/2
Step-by-step explanation:
Answer:
The first one
Step-by-step explanation:
Answer:
or
Step-by-step explanation:
The question is
Find the slope intercept form of the line parallel to the line 5x+8y=120 passing through (4,5)
step 1
Find the slope of the given line
we have
isolate the variable y
The slope of the given line is m=-5/8
step 2
Find the slope of the line parallel to the given line
we know that
If two lines are parallel, then their slopes are the same
so
The slope of the parallel line to given line is m=-5/8
step 3
Find the equation of the line into slope intercept form
The equation of the line into slope intercept form is equal to
we have
m=-5/8 and point (4,5)
substitute and solve for b
substitute
or
Answer:
7 DVDs
Step-by-step explanation:
Christine spent $29.50 in total, and $5 on the membership.
so the amount of money spent on DVDs is $29.50 - $5, or $24.50.
The number of DVDs she rent are $24.50 / $3.50 = 7 DVDs