# If Mc021-1.Jpg And Mc021-2.Jpg, What Is The Range Of Mc021-3.Jpg?

3964 users searched for this homework answer last month and 19 are doing it now, let’s get your homework done.

This Top Homework Answer is High School level and belongs to the Mathematics subject.

This answer got 123 “Big Thanks” from other students from places like Samburg or Saltillo.

## Question

If mc021-1.jpg and mc021-2.jpg, what is the range of mc021-3.jpg?

, and , we want to find the range of Notice that Whatever value v can possibly produce, that is the Range of v, becomes the range of u.Then whatever u produces for these values, is the range of  u(v(x))So, first find range of v: clearly the domain of v is R-{0}, as v(0) makes no sense.We check what values c can v produce:,this means that any c (for now) can be produced… it is enough to let x=1/cthis also means that c cannot be equal to 0 as 1/c makes no sense if c=0.Thus the range of v is R-{0}, Now we check the range of u(v(x)) for v(x)∈R-{0}, assume we want to produce a value c, so: since the left side is always positive or 0, for x=0, the right hand side expression must also be positive or zero, which means c-3 must be negative or 0, thus c-3≤0;  c≤3.  Here recall that x in u(x) cannot be 0, so c<3.Answer: The range of u(v(x))   is (-infinity, 3)

## Students are also searching for

• what is the inverse of the given function? y = 7×2 – 3.
• simplify (4x − 6) + (5x + 1).
• the capacity of a brain area to reorganize in response to damage is known as brain

If you have more homework to do you can use the search bar to find the answer to other homework: 200 have done it today and 118 in the last hour.