Note: I am assuming you mean ''on what domain is f+g is defined''.
Answer:
We conclude that
Step-by-step explanation:
Given the domain of f
[-3, 5]
Given the domain of g
[-2, 7]
- The domain of a composition f+g would include the intersection of both domains.
In other words, the domain of a composition f+g includes all the inputs of x-values that are in the domain of both functions i.e. f and g.
so
Domain of f = [-3, 5]
The x-values lie in the domain of f interval are:
x = -3, -2, 1, 0, 1, 2, 3, 4, 5
Domain of g = [-2, 7]
The x-values lie in the domain of g interval are:
x = -2, 1, 0, 1, 2, 3, 4, 5, 6, 7
Therefore, the common x-values in both f and g would be:
-2, 1, 0, 1, 2, 3, 4, 5
Thus, we conclude that
Step-by-step explanation:
your don't see what went wrong ?
Tyrell worked on
16 - 2(4 + 3x)
what do brackets mean ? they mean that this operation has to be done before everything else in the expression.
as this contains a variable, we cannot fully calculate it, true, but we need to keep this in mind and always treat the content of the brackets as one package.
so, whatever I do from the outside with one part of that package, I have to do also with all the other parts of that package.
so, the multiplication with -2 has to happen with both : 4 and 3x. not just with 4.
therefore, the correct simplification looks like
16 - 8 - 6x
8 - 6x or -6x + 8
Amelia multiplied correctly, but then made a mistake summing things up
10x - 3(4x + 1)
10x - 12x - 3
10x - 12x = -2x
I can't mix the pure constant -3 into the factors of x. that would be like the famous mixing of apples and oranges.
so, the result is
-2x - 3
Answer:
3.98 x 10^7
Step-by-step explanation:
Answer:
f^-1(x) = x - 2
Step-by-step explanation:
To find the inverse of a function in terms of x and y, you would sway x and y in the function. We can rewrite f(x) = x + 2 as y = x + 2, since f(x) is basically y in a function. The inverse of y = x + 2 would be x = y + 2. Now, solve for y.
x = y + 2
-2 both sides.
x - 2 = y
y = x - 2
The inverse of y = x + 2 would be y = x - 2, so the inverse of f(x) = x + 2 would be f^-1(x) = x - 2 (f^-1(x) means the inverse of f(x)).
f^-1(x) = x - 2
I hope you find this helpful. :)
12,500 divide 1999, 12,500 divide 1998, etc hope this helps
