Let f(x) = 4x2 + 6x -5 and simplify f(2+x)

Q: Simplify (-2y^4)^2(-2x^3y^2z)^3

A: To simplify (-2y^4)^2(-2x^3y^2z)^3.

Q: #98

A: Consider the provided formula.

Q: f Then determine the domain for each function Given f(x)- x+6 and g(x) 4x, first find f+ g, f-g, fg,...

A: In this question, we have f(x) = x + 6 and g(x) = , we need to find f + g, f - g, fg, and f/g. we ne...

Q: Problem 6.37

A: Since f(x) is of degree 5, then f(x)-1 is also of degree 5. And given that f(x)-1 is divisible by (x...

Q: I am needing help solving the question:   The quantity represents a real number. Find any restrictio...

A: Given information:The given equation is 1/2x-5=10 

Q: x2-5x+6=0. find the value of x

A: Obtain the value of x as follows.

Q:

A: The given quadratic equation is,

Q: #1

A: The given pair of equation are 2x +5y = 4  and 4x +10y = 1.

Q: Write an equation for the function that is described by the following characteristics.   The shape o...

A: The function is given by,

Q: 8÷2(2+)

A: To simplify the expression, the PEMDAS rule is used.PEMDAS stands for Parenthesis, Exponents, Multip...

Q: Find the horizontal asymptote, if any, of the graph of the rational function. 10x2 gx)= $2 5x+8 Sele...

A: This graph has horizontal asymptote because the degree of numerator and denominator are same.

Q: How do you solve the polynomial inequality x4 + 36 ≤ 13x2

A: The given polynomial inequality is x^4+36≤-13x^2.

Q: Last year, Isabel had $20,000 to invest. She invested some of it in an account that paid 7% simple i...

A: Given:Isabel had a total amount of $20,000 to invest.One of her invesetment gave her a 7% interest a...

Q: (1/12x4+5/8x3+5/8x2+4)+(-7/12x4+3/8x2-4)=

A: Firstly, we remove the brackets and then we collect the like terms and solve  as shown on board.

Q: Hello, looking for the easiest steps to solve 2 and 3 step multiplication questions. For example 275...

A: To multiply a three-digit number with a two-digit number follow the given steps.The numbers to be mu...

Q: Solve and graph the solution on a number line

A: Given infromation:The given inequality is x-3>1Calculation:x-3>1x>1+3x>4Graph: 

Q: (5y-2)2+6=22

A: Given information:The given equation is (5y-2)^2+6=22

Q: O EXPONENTIAL AND LOGARITHMIC FUNCTIONS Paul Graphing an exponential function and its aymptote: f(x)...

A: Given function is: For the given function when x = -2 For the given function when x = -1 For the giv...

Q: A ball is thrown upward and outward from a height of 5 feet. The height of the ball, fx), in feet, c...

A: Given information: A ball is thorwn upwards and outwards from a height of 5 feet. The height of the ...

Q: Find an equation of the circle whose diameter has endpoints (-5, 6) and (3, 2). X

A:

Q: Determine algebraically whether f and g are inverse functions.  f(x) = 5x - 3          g(x)= x+3/5

A: To show f and g are inverse functions, we have to show f(g(x))=x and g(f(x))=x. 

Q: Simplify the expression 4 (10 n to the power 2 - 2) -5 (8 n to the power 2 + 4)

A: The given expression is

Q: solve the compound inequality 4u+4<8 or 3u-4>-22 write the solution in interval notation If th...

A: Refer to the question of a compound inequality 4u+4<8 or 3u-4>-22.First, find the solution set...

Q: Solve the exponential equation by expressing each side as a power of the same base and then equating...

A: We use 4=2^2 and 8=2^3

Q: A woman earned wages of $40,400, received $2000 in interest from a savings​ account, and contributed...

A: (a) To determine the person’s gross income.The gross income consists of the total income, the total ...

Q: Given the function fx)- (x +7), (a) Find f (x). (b) Graph f andf in the same rectangular coordinate ...

A: We first replace f(x) by y. Then we switch x and y. And then solve for y. This new y is replaced by ...

Q: + Gwhat is amplitude of a wave Go X B Lesson 17 Homework 1 College X - https://go.view.usg.edu/d2l/l...

A: Consider the equation that represents the magnitude, M of an earthquake:

Q: Find an equation of the circle that has center , 2−5 and passes through , 6−1 .

A: Given information:The center of the circle is (-2,5).The point passing through the circle is (-6,1).

Q: Suppose that the functions q and r are defined as follows. =q(x)=−x r=-2x^2+1 Find the following. (r...

A: In this question we have two functions q(x) and r(x), for which we have to find (roq)3 and (qor)3

Q: Solve the compound inequality. -3v 6 2v-4 4 or Write the solution in interval notation If there is n...

A: The compounded inequality is given by,

Q: Find the average rate of change of the function f(x) yx from x, 81 to x,-144 The average rate of cha...

A: We are given,

Q: A Web music store offers two versions of a popular song. The size of the standard version is 2.4 meg...

A: Given:The size of the standard version is 2.4 megabytes (MB). The size of the high-quality version i...

Q: Solve the system of equations by the substitution method. 2 3 y = 7xt 7 5 y = X7 Select the correct ...

A: Given:The system of equations is

Q: Linear Algebra Question: determine whether the following set of vectors are subspaces: H= {[a b c] :...

A: To determine: The set of vectors are subspaces such that

Q: 6. For the given functions f and g, algebraically find (f-g)(x) f(x) = -5x3- 7x2 - 8x g(x) = 12x3- 6...

A: Given, 

Q: Find an equation of the circle whose diameter has endpoints , 46 and , 4−4 .

A: To write down the equation of satisfied by all the points on the given locus

Q: A car is purchased for $31,000 . Each year it loses 30% of its value. After how many years will the ...

A: Let the depreciated amount be represented by D(t). then according to the given condition.

Q: The mass of a radioactive substance follows a continuous exponential decay model, with a decay rate ...

A: We are given decaying rate r=7%r=0.07

Q: How do you solve 1/2 +12/x2 > 5/x

A: The given inequality is,

Q: On a reality television show, an officer traveling in a police cruiser at mph pursues Jennifer who h...

A: Hello there! You seem to have uploaded an incomplete question. In order to solve this question, we n...

Q: Let D = {b, a, c, k}, E = {t, a, s, k}, F = {b, a, t, h}. Using these sets, find the following:20. F...

A: Let us consider the universal set as set of all alphabets. Then F^c contains all elements os U excep...

Q: Find the inverse Step by step explanation on how to perform the row operations to find the inverse.

A: First we write using augmented matrix. 

Q: This Question: 1 pt th 25 of 30 (4 complete) Find f(g(x)) and g(fx)) and determine whether the pair ...

A:          Given,

Q: Divide   −4x2−2x+14    by   2x+3 Write your answer in the form:   −4x2−2x+14=(2x+3)×q(x)+r(x)    −4x...

A:

Q: Question: consider the function f(x)=3^x-1 graph showing the asymptote

A: The given function is f (x) = 3x–1.

Q: Find all the zeros of the polynomial function. Use the Rational Zero Theorem, Descartes's Rule of Si...

A: Given information:The given polynomial function is  

Q: 21 of 30 (4 complete) This Question: 1 pt f Then determine the domain for each function. g Given f(x...

A: Consider the provided functions:

Q: f Then determine the domain for each function. 9 First find f+ g, f-g, fg and f(x)-3x-32x+ 45, g(x) ...

A: Refer to the question for the given function f(x) = 3x2-32x+45 and g(x) = x -9. we need to calculate...

Q: Steve and Nicole entered a double-decker bus in London on which there were 5/8 as many men as women....

A: Given information:Steve and Nicole entered a double-decker bus in London on which there were 5/8 as ...

Q: 72 voters are asked to rank four brands of soup: A, B, C, and D. The votes are summarized in the fol...

A: Since we are entitled to answer up to 3 sub-parts, we’ll answer the first 3 as you have not mentione...

Transformation of Graphs

The word ‘transformation’ means modification. Transformation of the graph of a function is a process by which we modify or change the original graph and make a new graph.

Exponential Functions

The exponential function is a type of mathematical function which is used in real-world contexts. It helps to find out the exponential decay model or exponential growth model, in mathematical models. In this topic, we will understand descriptive rules, concepts, structures, graphs, interpreter series, work formulas, and examples of functions involving exponents.