The domain of the inverse of a function is the range of the original function
so find the range of f(x)
this is lowest to highest
we got the vertex is at (0,4)
and it goes to infinity
so range is from 4 to infinity
inverse
replace f(x) with y
switch x and y
solve for y
replace y with finverse
f(x)=x^2+4
y=x^2+4
x=y^2+4
x-4=y^2
y=√(x-4)
f⁻¹(x)=√(x-4)
inverse is f⁻¹(x)=√(x-4)
the domain is x≥4
Answer:
$108.4
Step-by-step explanation:
Divide $216.8 by 4 to find the amount of money Tom makes in 1 day:
== $54.2 per day
We are looking for money Tom makes in TWO days, so multiply the value we just found by 2:
$54.2*2
==$108.4
Math - Steve, Wednesday, May 7, 2014 at 4:35pm
there are 201 numbers from 50 to 250.
So, clearly, if 202 people are polled, at least two of them must have the same number.
B 72
....................................
Answer:
Step-by-step explanation:
1). If two right triangles are congruent by HL property of congruence,
Their corresponding sides will be congruent.
By this property,
x - 4 = y + 3
x - y = 7 -----(1)
x = 2y ------(2)
By substituting x = 2y in equation (1),
2y - y = 7
y = 7
From equation (1)
x - 7 = 7
x = 15
2). If both the right triangles are congruent by HL property of congruence,
Their height and and hypotenuse will be congruent.
y + x = x + 7
y = 7
y + 5 = 2y - x
y - 2y + 5 = -x
-y + 5 = -x
x = y - 5
By substituting y = 7 in the equation,
x = 7 - 5
x = 2
