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Q: The graph of a function is given. Determine whether the function has an inverse function. Does the g...

A: This graph satisfies vertical line test.

Q: Discuss the relationship among the lines with equations y = 2x + b, where b is any real number.

A: Explanation:The equation of line is y=mx+c where m be the slopw of line and c be the y-intercept.Com...

Q: Use the Intermediate Value Theorem to show that the polynomial f(x) =2x"-11x +4 has a real: zero bet...

A: We have to find f(-2) f(-2)=-8

Q: Solve the following logarithmic equation. Be sure to reject any value of x that is not in the domain...

A: First we use the definition of logarithm to get rid of log.

Q: For f(x)=x and g(x) = x + 4, find b. the domain of fog a. (fo g)(x) a. (fo g)x) (Simplify your answe...

A: (a)o represents the composition of functions and is defined as:Plugging the values,

Q: how do i find the domain of this rational function f(x)=2x/(2x+7)

A: We are given function as

Q: FUNCTION OPERATIONS AND INVERSES Composition of two functions: Basic Suppose that the functions u an...

A: The given functions are,

Q: 7) In a triangle, the measure of the first angle is twice the measure of the second angle. The measu...

A: Click to see the answer

Q: Write the standard equation of the circle shown in the graph. 1) -5 3 -2 -t .3

A: Known fact:The standard equation of the circle is (x - h)2 + (y -k)2 = r2

Q: 2 47) Use the graph of f(x) shown to the right to solve: a) f(x)-0 b) f(x)<0 y-f(x)

A: a) Consider the given function to be y = f(x). Solve the equation f(x) = 0 using the given graph as ...

Q: Evaluate the piecewise function at the given values of the independent variable. 2x+5 if x <0 f(x) 3...

A: Since -3 is less than 0, so we have to use the first part of the function where f(x)= 2x+5 if x<0...

Q: Find all rational zeros of the function f (x) = x ^3 −6x^ 2 +11x −6

A: The given polynomial function is

Q: Determine whether the function has an inverse function. If it does, find the inverse function. f(x)...

A: The function is given by,

Q: # 41 # 42

A: Find the invested amount in both accounts.Let P be the principal amount.Here, the total simple inter...

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

A: Given:The functions f(x) = 5x - 3 and g(x) = (x+3)/5

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: Below are eight functions. Find the first derivative of each. Space is provided. Use good dark in...

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

Q: Function g is related to the parent function. Identify the parent function f. g(x)=4-[[x]] a. Con...

A: Consider the given function:

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

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

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: Click to see the answer

Q: Use the given function to complete parts (a) through (e) below -92 f(x)-x At which zeros does the gr...

A: The function is given by,

Q: Solve the given equation for x - 1•9 - 6 x = 7 •1

A: To solve the equation, PEMDAS rule is used to simplify the equation and then the variable is isolate...

Q: Evaluate the expression without using a calculator. log 24 log 24 Enter your answer in the answer bo...

A: Given information:The given expression is

Q: The length of one leg of a right triangle is 12 meters. The length of the hypotenuse is 8 meters lon...

A: Given information:The length of one leg of a right triangle is 12 meters. The length of the hypotenu...

Q: Solve for x: 3x+1 = 27

A: The equation is given by,

Q: The parent function f(x)= x3 is related to g. Use function notation to write g in terms of f. g(x...

A: The parent function is given by,

Q: Divide using long division. State the quotient, qo), and the remainder, r(x). 14x+16x+11x2 2x2+3 14x...

A: Used long division

Q: Given the functions f(x)=3x-5 , g(x)=2x^2-4x+8 , h(x)=30(1.5)^x , p(x)=5x-4/x-2 evaluate the followi...

A: Given the function f(x)=3x-5 and h(x)=30(1.5)x.And, Now simplifying the composition of the two func...

Q: What is the equation of the function that is obtained from f (x) = | x | by reflecting about the x -...

A: Given information:The given function is

Q: Two cyclists leave towns 144 km apart at the same time and travel toward each other. One cyclist tra...

A: Given that two cyclist 114 km apart travel each other at same time one cyclist travel 6 km/h faster...

Q: Divide using long division. State the quotient, q(x), and the remainder, r(x). 5x 14x* + 14x+ 2x2+1 ...

A: The given expression is,

Q: mplele) (4 pt Use the given conditions to write an equation for the line in point-slope form and in ...

A: Given, Required line passing through the point (-3 , -2) and parallel to the line y = -3x+5.

Q: Find all rational zeros of the function f (x) = 9x ^4 −9x ^3 −58x ^2 +4x +24

A: Consider the provided function.

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

A: Obtain the value of x as follows.

Q: #21 when the wind is blowing at 25mph, a plane flying at a constant speed can travel 500 miles with ...

A: Given:The rate at which the wind is blowing is 25mph.At a constant speed a plan can fly 500 miles at...

Q: The graph to the right is a complete graph, that is, it is continuous and displays the function's en...

A: Calculation:If the multiplicity is odd the graph will cross the x-axis at that zero. That is, it wil...

Q: Aki's Bicycle Designs has determined that when x hundred bicycles are built , the average cost per b...

A: Consider the provided cost function.

Q: 25+2=

A: First we calculate 2^5.2^5= 2x2x2x2x2=32

Q: Collect like terms and then arrange them in descending order.-x+5/8+30x^3-x-1/2-3x^3

A: Here the given expression is

Q: Which expression is equivalent to162 Question 6 options: 6¯10 • 68 ...

A: This expression is not equivalent to 162.

Q: The drag force F on a boat varies jointly with the wet surface area A of the boat and the square of ...

A: Drag force F directly varies with surface area A and square of the speed s.Wet surface area of boat ...

Q: x2 - 4x + 40=0 how do i complete the square in the problem above?

A: We are given equation as

Q: Let A1, A2 and A3 be mutually exclusive and exhaustive events of some sample space S, where P(A1) = ...

A: In this question, it has been given that A1, A2 and A3 are mutually exclusive and exhaustive events....

Q: graph the parabola y=(x-5)2-2

A: Consider the given equation

Q: The parent function f(x)=x3 is related to g. Use function notation to write g in terms of f. g(x)=(...

A: The parent function f(x)=x3

Q: Use the vertex and intercepts to sketch the graph of the quadratic function. Give the equation of th...

A: In order to sketch the graph of quadratic function, convert the given quadratic function into standa...

Q: One number is seven less than four times another number. If their sum is 103. Find both numbers.

A: The given statement is

Q: 2x+7 The function x-9 X#9, is one-to-one. Find an equation for f (x), the inverse function. 0)x2 (Si...

A: Consider the given one-to-one function:

Q: O LINES AND FUNCTIONS OD Paul Combining functions to write a new function that models a re... Españo...

A: Given information:The standard charge S (in dollars) is given by the function S=18.95+0.50M, where M...

Q: O LINEAR EQUATIONS AND INEQUALITIES Paul Solving a compound linear inequality: Interval notation Esp...

A: We first solve for x from 4x+1>=21