Answer:
x=5
Step-by-step explanation:
I'm assuming all of (x^2+9) is in the denominator. If that assumption is correct, then,
One possible answer is
Another possible answer is
There are many ways to do this. The idea is that when we have f( g(x) ), we basically replace every x in f(x) with g(x)
So in the first example above, we would have
In that third step, g(x) was replaced with x^2+9 since g(x) = x^2+9.
Similar steps will happen with the second example as well (when g(x) = x^2)
The domain is easiest. You simply need to find the fractions, and exclude any X that makes the denominator zero. So in this case, your domain is everything except X=7.
For range, you are trying to find out what are the possible answers. Usually the best way to do this is to try x=infinity, and x=negative infinity, which here gives you answers of infinity and negative infinity. Since the function is almost continuous, I think your range is any real number.
Answer:
(,
Step-by-step explanation:
Given the 2 equations
- 2x = 16 - 8y → (1)
x + 4y = 25 → (2)
Rearrange (2) expressing x in terms of y by subtracting 4y from both sides
x = 25 - 4y → (3)
Substitute x = 25 - 4y into (1)
- 2 (25 - 4y) = 16 - 8y ← distribute left side
- 50 + 8y = 16 - 8y ( add 8y to both sides )
- 50 + 16y = 16 ( add 50 to both sides )
16y = 66 ( divide both sides by 16 )
y = =
Substitute this value into (3) for corresponding value of x
x = 25 - 4 × )
= - =
Solution is ( , )
Answer: 16 one side 32 second side 48 third side
Step-by-step explanation:
16;32;48
3;4;5