Answer:
4th choice 
Step-by-step explanation:
<u>Definition of the inverse of a function</u>
A function g is the inverse of a function f if whenever y=f(x) then x=g(y). In other words, applying f and then g is the same thing as doing nothing. We can write this in terms of the composition of f and g as g(f(x))=x. The domain of f becomes the range of g and the range of f becomes the domain of g
To solve for the inverse of the function 
Let 


Switch sides

Take square roots on both sides

Add 4 on both sides to solve for y

We have two solutions

To determine which one of these to be chosen not that in the given choices we can eliminate the first two since x cannot be negative
The third choice can also be eliminated since
is a decreasing function for
So the last answer choice is correct and the inverse of
is given by 
Answer:4th choice 
Note
Domain of (x-4)² is [4, ∞) since x ≥ 4 and (x-4)² cannot be negative
Range of (x-4)² is [0, ∞)
Domain of
is [0, ∞)
Range of
is [4, ∞)
so indeed the domain of (x-4)² has become the range of
and the range of (x-4)² has become the domain of 
1/4
first find lcm=4
second corporate it inti the fraction 1/2=2/4
third, subtract
3/4-2/4=1/4
Mischa wrote the quadratic equation 0 = –x2 + 4x – 7 in standard form
The standard form of quadratic equation is

When y=0 then the standard equation becomes

Now we compare the given equation
with
and find the value of a, b,c
-x^2 can be written as -1x^2
a= -1 , b=4 and c=-7
The value of c is -7
Answer:
Step-by-step explanation:
ı do not know
Answer:
I assume the answer would be that f(x) = 6(x) increases over the interval x = 3 to x = 4
Step-by-step explanation:6 x 3 is 18 and 6 x 4 is 24, so over the interval x = 3 to x = 4 f(x) would increase.