Step-by-step explanation:
(a○b)(x) is the same as a(b(x)).
it is really that simple.
first you calculate the result of the inner function, and then that result is the input for the outer function.
that's it.
so,
(w○u)(2) = w(u(2))
u(2) = -2 -1 = -3
w(-3) = 2×(-3)² + 1 = 2×9 + 1 = 19
so, 19 is the first answer.
(u○w)(2) = u(w(2))
w(2) = 2×2² + 1 = 2×4 + 1 = 9
u(9) = -9 - 1 = -10
so, -10 is the second answer.
Option C is correct. the functions that would not be a possible function for f (x) and g(x) are f(x) =
and g(x) = x
Given the composite function

We are to look for two functions f(x) and g(x) that will not give the same function
Using trial and error,
If f(x) =
and g(x) = x
Determine the f(g(x)) for this function
f(g(x)) = f(x)
This is gotten by simply replacing x with x in f(x). This will return back the function f(x) making this the right choice.
f(g(x)) =
Since,
, hence the functions that would not be a possible function for f (x) and g(x) are f(x) =
and g(x) = x
Learn more here: brainly.com/question/3256461
Answer:
0.189
4.525
Step-by-step explanation:
v/1 + 2/v + 4v/3 = 11
we can eliminate denominators if we distribute 3v to each term:
3v(v/1 + 2/v + 4v/3) = 3v(11)
3v² + 6 + 4v² = 33v
7v² - 33v + 6 = 0
factor this trinomial:
there are no factors of 6 that would add to -33 so we can use the quadratic formula to solve: (-b ± √b²-4ac) / 2a
a = 7
b = -33
c = 6
[33 ± √(-33)² - 4(7)(6)] / 2(7)
(33 ± √1089 - 168) / 14
(33 ± √921) / 14
(33 ± 30.35) / 14
(33+30.35) / 14 = 4.525
(33-30.35) / 14 = 0.189
Hey there!
To start, when you perform (f+g)(x), you are adding the functions together. This would mean, you would add 4x+9 to 4x^2. This should look like this:
(4x+9)+(4x^2)
Because there are no like terms, your final answer would be 4x+9+4x^2 or the last answer choice.
Hope this helps and have a marvelous day! :)