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natima [27]
2 years ago
15

AP Calculus AB Question from A, P .E* X(Will give branliest if correct)

Mathematics
1 answer:
Lelu [443]2 years ago
5 0

If g(x) = 3 · x - 1 and f(x) = \sqrt{9-x^{2}}, then the domain of the division of f(x) by g(x) is equal to the following <em>composite</em> interval: [-3, 1/3) ∪ (1/3, 3] (Correct choice: A)

<h3>What is the domain of a function as a result of a binary operator</h3>

<em>Binary</em> operators are operators that involves two functions, there are four <em>binary</em> operators: (i) Addition, (ii) Subtraction, (iii) Multiplication, (iv) Division. First, we determine the domains of the functions f(x) and g(x):

f(x):

Domain - [-3, 3]

g(x):

Domain - (- ∞, + ∞)

If we divide f(x) by g(x), then we must take g(x) = 0 into account, since it leads to indetermination. In this case, x = 1/3. Then, the domain of the resulting function:

(f/g)(x):

Domain - [-3, 1/3) ∪ (1/3, 3]

If g(x) = 3 · x - 1 and f(x) = \sqrt{9-x^{2}}, then the domain of the division of f(x) by g(x) is equal to the following <em>composite</em> interval: [-3, 1/3) ∪ (1/3, 3] (Correct choice: A)

To learn more on functions: brainly.com/question/12431044

#SPJ1

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X y
Allushta [10]

Answer:

D)\ \{3,-1\}

Step-by-step explanation:

Image of x=0 is y=3

Image of x=2 is y=-1

Hence \{0,2\} corresponds to \{3,-1\}

3 0
3 years ago
G = x-c/x solve for x
Elan Coil [88]

Answer:

x=\frac{c}{1-g}

Step-by-step explanation:

Step 1: Multiply both sides by x,

 gx=−c+x

Step 2: Add -x to both sides.

gx+−x=−c+x+−x

gx−x=−c

Step 3: Factor out variable x.

x(g−1)=−c

Step 4: Divide both sides by g-1.

\frac{x(g-1)}{g-1} =\frac{-c}{g-1\\}

x=\frac{c}{1-g}

Hope this helps!

5 0
4 years ago
Read 2 more answers
the vertex of this parabola is (2,-1). When the x-value is 5 the y-value is 0.what is the coefficient of the squared expression
weeeeeb [17]
1/9
Here's the proper explanation:
Since the vertex is (2,-1), the original equation will look like this: y=a*(x-2)^2-1
When the substitution happens we get to this:
0=a*(5-2)^2-1 then 1=a*(5-2)^2 -> 1=a*9
So, a=1/9! Written in another form:
1/9x^2-4/9x+4/9-1

Hope could help :)
8 0
4 years ago
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timofeeve [1]

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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