First find f+g, f-g, fg and a Then determine the domain for each function. f(x) = 3x + 7, g(x) = x+2 (fg)(x) = What is the domain of fg? O (0,00) 00,- O (-0,00) O (-0, - 2)U( -2,00) (x) = What is the domain of -? Click to select your answer(s).

Q: Evaluate or simplify the expression without using a calculator. log 1013

A:

Q: 1. Calculate radius of a 0.2-acre circular plot.

A: As the value of 1 acre is 43560 sq feet thus multiply 0.2 by 43560 to obtain the value of the area o...

Q: Find the zeros for the polynomial function and give the multiplicity for each zero.f(x) = 4(x + 2)(x...

A: For finding the zeros of any polynomial we need to find the solution for f(x)=0. The values of x whe...

Q: Determine whether each statement is true or false. \{3,7,12,14\}=\{3,7,12,14,0\}

A: A set is a collection of objects. In a set there can be no repetition of an object.  Two sets are eq...

Q: Determine whether each statement is true or false. \{1,2,4\} \cap\{1,2,4\}=\varnothing

A: The meaning of the symbol ∩ helps to determine the validity of the statement. The symbol ∩ is the s...

Q: what are the answer from 7-11

A: As per our guidelines, ican answer only 1 question and three subparts of a question.

Q: Given the function f(x) = x2 - 11, x20, (a) Find f1(x). (b) Graph f and f-1 in the same rectangular ...

A:

Q: Determine whether each statement is true or false. \{x \mid x \text { is a natural number less than ...

A: x : x is a natural number less than 3=1, 2

Q: Simplify fully. (a) eln 4z (b) log 10* (c) 5log, 8z (d) log, 167y

A:

Q: . Radioactive Radon After 3 days a sample of radon-222 has decayed to 58% of its original amount. (a...

A: Given, mass of radon-222 decayed 58% of original amount m(t)=m(3)=0.58m0 0.58m0=m0e3ke3k=0.58 take l...

Q: Transparency of a Lake Environmental sci- entists measure the inten- sity of light at various depths...

A: Substitution of the respective values into the given function helps to find the corresponding values...

Q: Fill in the blank(s) to correctly complete each sentence. \{\ldots,-3,-2,-1,0,1,2,3, \ldots\} \text ...

A: The real number  system is categorized into two types  namely  rational numbers , irrational numbers...

Q: Determine whether each statement is true or false. \varnothing \cup \varnothing=\varnothing

A: The meaning of the mathematics symbol helps to determine the validity of the statement. The symbol ...

Q: Solve the logarithmic equation for x. logx = -2

A: Given logx = -2

Q: Evaluate each exponential expression, and identify the base and the exponent. 4^{3}

A: We have to evaluate the expression as well as we have to identify the base and exponent: 43 We know ...

Q: Determine whether each statement is true or false. 12 \in\{18,17,15,13,12\}

A: 12∈{18,17,15,13,12}

Q: Let f be the logarithmie function f(x) = log, x. %3D (a) What is the domain of f? (b) What is the ra...

A: Given: f(x)=logax

Q: Solve the logarithmic equation for x. In x = 10

A: The logarithmic equation is given as In x = 10 The objective is to find the value of 'x'.    

Q: Simplify the expression to a + bi form

A: Simplify the expression to a + bi form This is rectangular form.  Given expression  (-6+8i) -(6+5i) ...

Q: Solve the equation. 2x - 10(2-x) + 3 = 0

A: Given equation is: 2x-102-x+3=0 We have to solve this equation for x. Let us substitute, 2x=u

Q: (a) Find the exact solution of the exponential equation in terms of logarithms. (b) Use a calculator...

A: Given equation: e3-5x=16

Q: The president of the college asked a fraternity to submit a list of 7 students to serve as guides at...

A:

Q: There are 10 horses competing in a show. In how many ways can the blue, red, yellow and white ribbon...

A: Here, Number of participants = 10 And Number of prizes = 4 (blue, red, yellow and white)

Q: Atmospheric Pressure Atmospheric pressure P (in kilopas- cals, kPa) at altitude h (in kilometers, km...

A: Use the logarithmic property lnab=ln a-ln b and solve it.

Q: Solve the logarithmic equation for x. log2 3 + log2x = log25 + log2(x - 2)

A:

Q: That goes all together

A: All the subparts of given question are solved below.

Q: Evaluate each expression. \frac{-(-3)^{3}+(-5)}{2(-8)-5(3)}

A: To evaluate the expression: --33+-52-8-53 Solution: Evaluating the given expression. --33+-52-8-53=-...

Q: -4, 3) 6 Iveu thot P= 1 0 1 3 0 2 4 -3 1 2 2x3 -45 3 3x3 Stzte wihether ornot ihe msirices invoived ...

A:

Q: Solve the logarithmic equation for x. log3(2 - x) = 3

A: Our Aim is to solve the logarithmic equation for x:-log3 (2-x)=3 -(i)

Q: One leg of a right triangle is 6 millimeters longer than the shorter leg and the hypotenuse is 12 mi...

A:

Q: Find the inverse function of f. f(x) = log 3x

A:

Q: Identify each set as finite or infinite. Then determine whether 10 is an element of the set. \{x \mi...

A: Let the given set be A - A = x | x is a natural number greater than or equal to 10

Q: Algebra Question

A: All the questions are solved below.

Q: Traffic Noise The intensity of the sound of traffic at a busy intersection was measured at 2.0 x 10-...

A: The intensity of the sound of traffic at a busy intersection was measured at 2.0×10-5 W/m2

Q: Find the rules for (fog)(x) and (gof)(x) and give the domain of each composite function. f(x)=2x.g(x...

A: we have to find the domain of composition function

Q: Let f(x)=4+3x and g(x)=x²-3. Find each function value: g(f(-2))

A:

Q: (a) Find the exact solution of the exponential equation in terms of logarithms. (b) Use a calculator...

A: (a) Find the exact solution of the exponential equation in terms of logarithms. (b) Use a calculator...

Q: Determine whether each statement is true or false.   \{5,7,9,19\} \cap\{7,9,11,15\}=\{7,9\}

A: To find below statement is true or false: 5, 7, 9, 19 ∩ 7, 9, 11, 15=7, 9……1

Q: Insert ∈ or ∉ in each blank to make the resulting statement true. 0 \ldots \varnothing

A:   The given statement 0 ____ ϕ where ϕ is an empty set.

Q: Find the solution of the exponential equation. 102x-3 = 1/10

A:

Q: Insert ∈ or ∉ in each blank to make the resulting statement true. \{2\} \longrightarrow\{2,4,6,8\}

A: The given set is 2,4,6,8 and 2

Q: World Population The population of the world was 7.1 billion in 2013, and the observed relative grow...

A: Given: Initial population P=7.1 billion The observed relative growth rate was  1.1% per year.

Q: The expression V2 V25 is equivalent to

A: Given expression: 23·254

Q: You buy a milkshake from a shoppe that only has chocolate, vanilla and strawberry flavors. Find the ...

A:

Q: Let x = -6 and y = 10. Evaluate each expression. \frac{2|x|-|3 y|}{|x y|}

A: To evaluate the expression when x=-6and y=10 substitute -6 for x and 10 for y in 2|x|-|3y||xy|and si...

Q: Solve the logarithmic equation for x. log3(x + 15) - log3(x - 1) = 2

A: log3x+15-log3x-1=2

Q: Evaluate the expression.

A:

Q: 15

A:

Q: A college lacross team will play 20 games next spring. Each game can result in one of 2 outcomes. a ...

A: To find the total possible outcomes

Q: Evaluate each expression. -2 \cdot 3^{4}

A: We have to simplify the expression using the BODMAS rule . The BODMAS rule is an order of performing...

Vertices Of An Ellipse

In the study of the conic section of the geometry, An ellipse is a plane curve surrounding two focal points, or foci where the set of all locus of points in the plane has their sum of the distances to the two foci is constant. On the ellipse curve, it is the intersection point of the main axis. In an ellipse graph, the center of the axis is the midpoint of the line segment connecting the foci. The major axis is the line section that runs through the ellipse's foci, while the minor axis runs through the middle and is perpendicular to the major axis.. The ellipse has two endpoints on the major axis which are known as the vertices (in plural), vertex in the singular. The equation of the major axis is 2a, the equation of the minor is 2b and the distance between the major axis and minor axis is 2c. The semi-major axis has a length of a and the semi-minor axis has a length of b. The ellipse's vertices are determined by the elliptical orbit's equation and graph.