之= 1+4i

Q: Given the function f(x) = 1- x - 9x, find and simplify the difference quotient. f(x + h)- f(x) Diffe...

A:

Q: Find the domain of the function. f(x) = log10(x + 3)

A: Domain is set of values for which the function is defined. Or it is the set of values for which the ...

Q: Determine whether the function is one-to-one.

A: Given function, f(x)=1x2

Q: The composition idea can also be used to find the inverse of a function. For example, to find the in...

A: Given: f(x) = 3x - 2

Q: Solve each of the following problems. The distance that a freely falling body falls varies directly ...

A: Let -Distance = dTime = tAccording to question - Distance varies directly as the square of the time....

Q: Algebraiclly solve the equation: 1 + 5z2 - 16I – 80 = 0 %3D ||

A: We have solve for X.

Q: Use the Change of Base Formula and a calculator to evaluate the logarithm, rounded to six decimal pl...

A: Given:           log52 Using the change of base formula; logba=logxalogxb       log52=log102log105  ...

Q: EXAMPLE 2 Graphing Exponential Functions by Plotting Points Draw the graph of each function. (a) f(x...

A: a) f(x)=3xb) g(x)=13x

Q: Express the equation in logarithmic form.

A: a). Given, 8-1=18 The logarithmic form is, log818=-1    ∵ax=y⇒logay=x

Q: Express the quadratic function f(x) = x2 - x - 6 in standard form, and sketch its graph.

A: Given, fx=x2-x-6

Q: Use the Laws of Logarithms to expand the expression.

A:

Q: Fill in the blank to correctly complete each sentence. The________ of sets A and B is made up of all...

A: The Union of set A and B is made up of all the elements belonging to both set A and set B.

Q: he ratio of incomes of two persons is 9: 7 and the ratio of their expenditures is 4:3 each of them s...

A:

Q: find the inverse of the given function by using the process illustrated in Examples 3 and 4 of this ...

A: Explanation: Given that,  f(x)=-35x+1We need to verify that,  (f∘f-1)(x)=x(f-1∘f)(x)=x    

Q: Solve each of the following problems. The period (the time required for one complete oscillation) of...

A: For a given variation problem, the variation equation can be written keeping following things in min...

Q: 2. In the formula A(1) = Pe" for continuously compound inter- est, the letters P, r, and t stand for...

A: Given,

Q: Compound Interest If $2500 is invested at an interest rate of 2.5% per year, compounded daily, find ...

A: P=2500,  r=2.5%=0.025,  n=365 a). A=P1+rnn·t=25001+0.025365365·2=$2628.1732

Q: translate each statement of variation into an equation, and use k as the constant of variation. The ...

A:

Q: Find each of the following. \{1,2,5,9,14\} \cup\{1,3,4,8\}

A: Given, 1, 2, 5, 9, 14∪1, 3, 4, 8

Q: Q:If y =f 2x-1 and f'(x) = sin x, find *+1, dy dx

A: Given, f'(x)=sin x2dydx=df(2x-1x2+1)dx We need to apply chain rule:

Q: Find each of the following. Identify any disjoint sets. \{1,3,5\} \cap\{2,4,6\}

A: Find : 1,3,5∩2,4,6. The intersection of two sets is the set with the elements that are common in bot...

Q: EXAMPLE 6 Shifting Graphs of Logarithmic Functions Sketch the graph of each function. State the doma...

A: Since you have posted multiple questions, we will solve only first question for you. To get remainin...

Q: Annual Percentage Yield Find the annual percentage yield for an investment that earns 5 % per year, ...

A: Annual percentage yield would be the effective annual interest rate equal to the given compound inte...

Q: Find the maximum or minimumm value of the quadratic function g(x) = 2x2 + 6x + 3.

A: gx=2x2+6x+3 Comparing with gx=ax2+bx+c, we get a=2,  b=6  &  c=3. Since a>0, therefore given ...

Q: Find all rational, irrational, and complex zeros (and state their multiplicities). Use Descartes' Ru...

A: Work as shown below, follow the steps:     Px=x6-64 In order to find the zeroes of P(x) solve the eq...

Q: Fill in the blank to correctly complete each sentence. The elements of the set of natural numbers ar...

A: GivenThe elements of the set of natural numbers=?

Q: Sketch the graph of the function by making a table of values. Use a calculator of necessary. g(x) = ...

A: g(x)=3(1.3)x

Q: Write an algebraic expression for each of the following verbal expressions

A: To write an algebraic expression for each of the following verbal expressions 5) Cube of r increased...

Q: Find all rational, irrational, and complex zeros (and state their multiplicities). Use Descartes' Ru...

A: p(x)=x4+7x3+9x2-17x-20

Q: Solve each equation of x. (a) In x = 8 (b) log2(25 - x) = 3

A: To solve for 'x' in,  ln x = 8 => loge x = 8 => x = e8  => x = 2,980.95799 Note : the value...

Q: Use the Laws of Logarithms to expand the expression.

A: Given expression lnx4+2 lnx4+2=lnx4+212 Use the power rule of logarithm, logcAb=blogcA lnx4+212=12ln...

Q: find the constant of variation for each of the stated conditions. y varies directly as the cube of x...

A: y varies directly as the cube of x

Q: specify the domain of each function. f (x) = √(x2 - 25)

A: Given function is fx=x2-25. To find the domain of the function. Solution: Domain of a function is th...

Q: the sum of reciprocals of Martins ages(inyears) 3 years ago and 5 years from now is 1/3.find the pre...

A: Assume Martin's age and then take the reciprocal and then add to find the age of Martin.

Q: Find the function of the form y = loga x whose graph is given.

A: A logarithm function of the form y=logax has the vertical asymptote as the y-axis. That is, as x→0,y...

Q: I don't get how they got the number to graph on the x-axis

A:

Q: find the constant of variation for each of the stated conditions. r varies inversely as the square o...

A: To find the variation equation for a given problem following things are to be kept in mind. For a va...

Q: A manufacturer of economy cars has determined that 46,000 cars per month can be sold at a price of $...

A:

Q: Graph the function, not by plotting points, but by starting from the graphs in the figure. State the...

A: gx=1-3-x The graph of gx=1-3-x is obtained by reflecting the graph of y=3x over y-axis and then refl...

Q: Solve the system of equations graphically. y= 2x- 1 y = - 8x - 41 Select the correct answer below an...

A:

Q: Q1:a) Find the domain and range of the functions:- 1) f(x) = x+3

A: To find the domain and range of the given function  

Q: Find the missing side length. a an b represent the legs of the triangle and c is the hypotenuse. * b...

A: In right-angled triangle, perpendicular and base are two legs of the triangle and third and largest ...

Q: Find the functions, f ∘ g and g ∘ f and their domains. f(x) = 2x,    g(x) = x + 1

A: Given, fx=2xgx=x+1

Q: Graph the function, not by plotting points, but by starting from the graphs in the figure. State the...

A: y=3-15x

Q: 9. We defined an n x n matrix to be invertible if there is a matrix B such that BA = In. In this exe...

A: This question is related to matrices.

Q: 51-52 - Difference Quotients These exercises involve a differ- ence quotient for an exponential func...

A: 51). Given function is fx=10x. To show that: fx+h-fxh=10x10h-1h Solution: We have fx=10x. Simplifyin...

Q: (1+i)²n n! n=0 evaluate

A: The function ex has the expansion ex=∑n=0∞xnn!. The complex number eix=cos x+i sin x.  This is calle...

Q: Analyze the given electrical circuits by finding the unknown currents.

A: In the question it is asked to calculate the value of currents I1,I2,I3.

Q: Use the Laws of Logarithms to expand the expression.

A: To expand the logarithmic expression: log5(3x2y3) Solution: Given expression is,log5(3x2y3) On simpl...

Q: 45-46 Comparing Exponential and Power Functions In these exercises we use a graphing calculator to c...

A: Given :                   f(x) = 2x   ,   g(x) = x5 (a).       Plot the graphs of the functions f an...