4. a) Find the inverse of the following function. f(x) = 2(x – 6)²b) Is the inverse f (x)a function? Explain.

Answered: Image /qna-images/answer/bbaa912a-6c78-4d7a-8079-c5bb8e842c2d.jpg

Answered: 4. a) Find the inverse of the following…

Math

Advanced Math

4. a) Find the inverse of the following function. f(x) = 2(x – 6)² -

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter2: Functions

Section2.8: one-to-one Functions And Their Inverses

Problem 2E: (a) For a Function to have an inverse, it must be______ So which one of the following functions has...

See similar textbooks

Related questions

Q: 2. Prove that in any ordered field F, a? + 1 > 0 for all a e F. Conclude that any field with a solut...

A: Let F be any ordered field. We need to prove that, for any a ∈ F, a2+1 > 0. We know that, in an...

Q: -3an The solution of the recursion relation ant1= n > 0, with ao = 1, (n+1)? " is an O None of these...

Q: How many equivalence relations on A=|42| are there that have distinct equivalence classes of size 4,...

A: Given A=|42| and distinct equivalence classes of sizes 4, 7,7, 8,8, and 8.

Q: At the skate park, a new concrete ramp is buil in the shape of a right triangular prism, as shown. 1...

A: Mensuration deals with the measurement of areas and volumes of plane and solid figures. Solids are t...

Q: Use undetermined coefficients to find the particular solution to y'' + y' – 30y = (1160t – 2372)sin(...

A: The given problem is to find the particular solution for the given non homogeneous differential equa...

Q: Delta invested 25, 000 pesos in a bank that earns 2.5% annual interest compounded continuously. How ...

Q: 1. Suppose it is known that a quantity z varies directly with a second quantity x and inversely with...

Q: s-1 What is L¯' (s–4)° – 25 - 4)² – 25 5 e cosh3t +e sinh 3t 3 3t А. 8 sin 3t 3 3t B. e" cos 3t +=e"...

Q: Ditections; For each equation, locate the y -intercept and use the

A: 7. Given, y=-x

Q: • 1. Using the method of undertermined coefficients, solve y" +y = g (t), where if 0<tST, Te-, if t2...

A: For 0≤t≤π, The Differential Equation becomes y''+y=t The characteristic equation for this different...

Q: find the dot product of a vector function and the derivative of that vector function. r(t) is a curv...

A: Two types of products are defined in vectors, the first one is a dot product or scalar product and t...

Q: Do the following flows define continuous-time dynamical systems? Prove your statement and, if they a...

A: As per the question we are given the following truples (X,T,S) :- X = R, T = R0+, S(t,x) = x+2t X =...

Q: (ex – 1)² | dx 3ex

A: We have to evaluate the integral

Q: Evaluate the given integral where C is the directed line segment that joins the point 1 to the point...

A: The given problem is to evaluate the given path integral over given path of line segment joining bet...

Q: 5. Two forces are applied to the same object. A 10 N force is applied horizontally, and a 25 N force...

A: A vector is a physical quantity that have both magnitude and direction. The resultant of two vectors...

Q: x² (In x – In y) dy = y (ylny – ylnx) dæ - -

A: A differential equation is an equation that involves derivatives or differential coefficients or dif...

Q: 1. Classify the following differential equations as to ODE/PDE, order, degree, linearity, coefficien...

A: As per our guidelines, we are supposed to solve only first three subparts. Kindly repost other subpa...

Q: Two sets A and B are nonempty disjoint subsets of a set S. If x e S, then which of the foll- (a) It'...

Q: Click to place tiles to measure the total length around the shape.

A: The total length of the given shape is counted using counting the number of tiles.

Q: За, n > 0, is n+1 ) One solution of the recursion relation an+2 = a) a2k+1 3*a1 k>0 2*k! b) a2k+1 3k...

A: We have to find the one solution of recursion relation.

Q: R The graphs of the polar curves r= 2 and r= 3+ 2cos e are shown in the figure above. The curves int...

Q: Quadratic forms are given below. Please identify are these functions positive semi-definite, negativ...

Q: Find the inverse laplace transform of H(s)= 8/(3(s^2) + 12) + 7/s^5 O h(s)=4/3 sin(21) + 3/7 sinh(7t...

Q: Directions: For each graph, write the equation of the line. 1. 2. 3.

Q: Learning Task 7: Sketch one possible graph of a function f(x) defined on R that satisfies all the li...

A: Given that limx→-4fx=DNE, limx→-2fx=0, limx→-1fx=0, limx→0fx=2limx→1fx=DNE, limx→2fx=-3, limx→4fx=5...

Q: -5 3 is A' = 5 1 3 Verify that the inverse of A 2° -1

Q: II. Select the statement that is EQUIVALENT to: "I call Dan or Eva." a. If I call Eva then I do not ...

Q: (D + 3)*(x5e-3x)

A: The function f(x) is a rule that associates or fixes a number to the particular point x. When an ope...

Q: Solve the following Integral Equation: x(0)= 3 =-t +

A: Given ∂x∂t=-t+∫0txtdt with x0=3 We will solve the differential equation using Laplace transform

Q: 3x? +5x –13 3. Express in partial fraction term. 3x+2 x? - 4x +4

A: Partial fractions

Q: 2x, - x, + 3x, = 24 2x2 - x, = 14 7x, - 5x2

A: According to Gauss-Jordan Elimination method first we will write the given system into augmented mat...

Q: 13. A passenger ship and an oil tanker left the port at any time in the morning. The passenger ship ...

A: Explanation Given that A passenger ship and an oil tanker left the port any time in the morning The...

Q: What is the value of 322 + 72 +1 z+1 zp-

A: By Cauchy integral theorem, if a function is analytic with in and on the boundary of a simple closed...

Q: 3. Find the Fibonacci number using the Golden Ratio when n = 28.

A: Fibonacci sequence is a sequence whose term is determined by adding its two predecessor terms. There...

Q: Solve the following equation by using separation variable method: y(x,0)=10 1>0 0<r<A y.(0,1)= y, (7...

Q: If f is continuous for t > 0, the Laplace transform of ƒ is the function F defined by: F(s) := | f(t...

A: The solution is given as

Q: Show that if A-1 exists, then eAT dr = A-(eAt – I) = (eAt – I)A-1.

Q: Evaluate Ln(-5.3-j2.4) O 4.3143 +j1.0541 O 1.7610 – j2.7164 O -1.2232+ j1.9883 O -2.6170 - j3.5246

Q: DETERMINE How MANY OF EACH TABLET COULD BE PRODUCCED TO MAKE USE /0 UNITS OF IRON AND 29 UNITS OF RI...

Q: Calculate the integral of x(1+ 3x)° dx .

Q: Using the result of the previous question, explain why 1 n sin" xdx = - sin"-2 xdx. n and hence show...

A: The given problem is to show the result of given integral with using the given integral result.

Q: The function f(x) = ln(xª + 4x² +3) is decreasing on Question 4. the interval(s) a) (0, 00) b) Every...

Q: X1 3x, = -2 Зх, + х, — 2х, — 5 2х, + 2х, + х; —D 4 2x3 X3 =

Q: Problem 5. Suppose that A, B, and A+ B are invertible nx n matrices. (a) Simplify the expression A(A...

A: 5. (a) Since A and B are invertible the following result can be concluded.

Q: COMPLETE SOLUTION PLS 4 DECIMAL PLACES

Q: Question 8. Using the limit definition of derivative compute the deriva- tive of the function 1 f(x)...

A: To use the limit definition of derivative to compute the derivative of the function.

Q: 2. Determine the convergence of the following sequences: a. {an} = {*an Зп?+4n) 2n-1 а. b. {bn} = (1...

Q: Find the Fourier Transform of f(x) = {1- x - n<x<0 0 <x<n %3D

A: Given the function, f(x)=0 if, -π≤x≤01-x if, 0<x≤π We have to find the Fourier...

Q: Sebve the Boundary Value buchlem uing Gueen's function tu= et ý )=0 u(0)=u( TT

A: The given problem is to solve the given boundary value problem using green's function with given bou...

Q: Express the function below in rectangular form, (-1+ i)-1+i

Question

4. a) Find the inverse of the following function. f(x) = 2(x – 6)²
b) Is the inverse f (x)a function? Explain.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here