Start your trial now! First week only $4.99!*arrow_forward*

Question

DISCUSS: Determining When a Linear Function Has an

Inverse For the linear function f1x2 mx b to be

one-to-one, what must be true about its slope? If it is oneto-one, find its inverse. Is the inverse linear? If so, what is

its slope?

Tagged in

Math

Algebra

Find answers to questions asked by students like you.

Q: x3+1 (1) (3) 4- V (2) 2x2 +3x + 4 x2-1

A: Click to see the answer

Q: . What is a complex number? Give an example of a complexnumber, and identify the real and imaginary ...

A: Complex numbers are the numbers which can be written in the form x+iy where x represents the real pa...

Q: Solution to the system of inequalities shown

A: Our objective is to find the solution to the system of inequalities shown.

Q: 22−3(3+2(2⋅5−32))

A: BODMAS rule: according to this rule the Order of mathematical operation must be: B represents Brac...

Q: Daily Temperature Change Temperature readings T (in °F)were recorded every 2 hours from midnight to ...

A: To represent T as a function of t, the order pairs can be formed where the values of t represent the...

Q: Geometry The hypotenuse of a right triangle has length20 cm. The sum of the lengths of the other two...

A: Given : The hypotenuse of a right triangle = 20 cm. The sum of the lengths of the ...

Q: Wendy Watersaver just received her monthly water usage data from her local water department. For the...

A: Click to see the answer

Q: Write the expression as an algebraic expression in x for x > 0.

A: Given: secsin−1xx2+4

Q: 83. Combining Functions If f1x2 x2 3x 2 andg1x2 4 3x, find the following functions

A: Here we have to use basic mathematical operations between two functions and we have to use compositi...

Q: 1–4 ■ Coordinate Plane Two points P and Q are given.(a) Plot P and Q on a coordinate plane. (b) Find...

A: (a) Plot the points on the cartesian plane.

Q: A function f is a rule that assigns to each element x in a set Aexactly element(s) called f1x2 in a ...

A: The definition of the function is: A function f is a rule that assigns to each element x in a set A ...

Q: Express as a product.sin cos θ + sin 2 θ

A: To express sinθ cosθ+sin2θ. Solution: We know that, sin2θ=2sinθ cosθ Therefore, given expression can...

Q: Find a system of linear equations that has the given matrix as its augmented matrix.

A: Each row of matrix represents the coefficients of variables of equations and the constants of equati...

Q: 81–82 ■ Graphing Transformations If f1x2 "2x x2,graph the following functions in the viewing rec...

A: f(x)=2x-x2The graph of the function is

Q: Discover: Graph of the Absolute Value of a Function

A: To draw the graphs of the functions.

Q: 17–18 ■ Table of Values Complete the table.

A: Given:17. fx=2x-12OBJECTIVE: To find the value of function in given table18. fx=2x+3OBJECTIVE: To ...

Q: Find the exact value of the expression whenever it is defined.

A: Click to see the answer

Q: Find the exact value of the expression whenever it is defined.

A: a. sincos-1-12=sinπ-cos-112 ∵cos-1-x=π-cos-1x=sinπ-π3=sin2π3=32

Q: Stadium Revenue A baseball team plays in a stadium thatholds 55,000 spectators. With the ticket pric...

A: A baseball team plays in a stadium that holds 55,000 spectators. The average attendance in the stadi...

Q: f(x) = |4x|, g(x) = -5 %3D (a) Find (f o g)(x). (b) Find (g o )(x). (c) Find f(g(-2)). (d) Find g(f(...

A: Click to see the answer

Q: DISCUSS: A Rational Function with No Asymptote Explainhow you can tell (without graphing it) that th...

A: Given, r(x)=x6+10x4+8x2+15

Q: Is f1x2 3 a linear function? If so, what are the slope andthe rate of change?

A: solution: Linear functions are those whose graph is a straight line. A linear function has ...

Q: Compute the principal (in $) for the loan. Use ordinary interest when time is stated in days. Princi...

A: Find principal amount

Q: (a) What is the slope of a linear function? How do you findit? What is the rate of change of a linea...

A: (a) The linear function can be expressed as y=mx+b. Here m is the slope that is a real number. The ...

Q: Express as a sum.(sin ax)(cos bx)

A: Given : (sin ax)(cos bx)

Q: 33–38 ■ Composition Using a Graph Use the given graphs of fand g to evaluate the expression

A: Graph of the function is: (33) It is clear from the graph that, g2=5 Then we get, fg2=f5=4

Q: 37–46 ■ Finding a Polynomial with Specified Zeros Find apolynomial with integer coefficients that sa...

A: Finding a Polynomial with Specified Zeros Find a polynomial with integer coefficients that satisfie...

Q: 19–22 ■ Describing Transformations Explain how the graph of gis obtained from the graph of f.

A: Click to see the answer

Q: 91–92 ■ Functions That Are Their Own Inverse If a function fis its own inverse, then the graph of f ...

A: Click to see the answer

Q: 6 -6 -5 4 -3 -2 -1 I 2 3 4 $ 6 -2 -5 The graph above is a transformation of the function a 2². Write...

A: The graph of the parabolic function is given, we have to find the parabolic equation.

Q: You are the accounting manager for Kool Ragz, Inc., a manufacturer of men's and women's clothing. Th...

A: Click to see the answer

Q: Find the exact value of the expression whenever it is defined.

A: Given functions are inverse trigonometric functions

Q: Q6: Convert the product to sum by using trigonometric identities sin90 cos60

A: Click to see the answer

Q: Solution to the system of inequalities shown

A: Given Information,

Q: Gravity Near the Moon We can use Newton’s Law ofGravity to measure the gravitational attraction betw...

A: Given: Newton's Law of gravity to measure the gravitational attraction between the moon and pre-cal ...

Q: Geneva treated her parents to dinner at their favorite restaurant. The bill was $82.25$82.25. Geneva...

A: Given that: Total bill at the restraunt = $82.25Tip on Total bill = 18%

Q: How would you solve for x2 +7 and g(x)=2x+5 A.(fog)(2)

A: solve for x2 +7 and g(x)=2x+5

Q: The polynomial -6x + 50x + ax+ 24 has factors x- 1 and 2x + 1. Determine the value of a.

A: -6x3+50x2+ax+24 The polynomial has factors x-1 and 2x+1

Q: Express as a sum or difference.3 cos x sin 2x

A: To express: The expression 3cos x·sin 2x as a sum or difference. Given: The expression is 3cos x·sin...

Q: find the valnesof the following limits 4 -Lim Sincosy) How

A: Click to see the answer

Q: 3) Consider the sequence x + 3, x + 7, 4x − 2, . . . . . . . . . . . . . (a) If the sequence is arit...

A: Click to see the answer

Q: . Volume of a Silo A grain silo consists of a cylindricalmain section and a hemispherical roof. If t...

A: Given : A grain silo consists of a cylindrical main section and a hemispherical roof. ...

Q: Determine whether the given matrix is in row echelon form. If it is, state whether it is also in red...

A: Given: The matrix To determine: Whether the given matrix is in row echelon form. If it is, state w...

Q: Discover: When Does a Graph Represent a Function? Forevery integer n, the graph of the equation y ...

A: Given that, y=xn

Q: 37–48 ■ Inverse Function Property Use the Inverse FunctionProperty to show that f and g are inverses...

A: 37). Given fx=x-6 and gx=x+6. We know that fx and gx are inverse to each other if fgx=gfx=x. Finding...

Q: Find the exact value of the expression whenever it is defined.

A: (a) sintan-13=sinπ3=32 Hence the exact value is 32.

Q: Stretching a Spring Hooke’s Law states that if a weight „ isattached to a hanging spring, then the s...

A: Given: The stretched length 's' of the spring is linearly related to 'w' : s=0.3w+2.5

Q: Find the exact value of the expression whenever it is defined.arccos √2/2

A: Given:arc cos22OBJECTIVE: To find the value of arccos 22

Q: Use the exact interest method (365 days) and the ordinary interest method (360 days) to compare the ...

A: Given information, The interest is the amount earned on the principal balance for the specified t...

Q: Given functions f and g from a set X to a set Y, f = g if, and only if, _____.*

A: Given functions f and g and f=g

Transcribed Image Text

102. DISCUSS: Determining When a Linear Function Has an Inverse For the linear function f(x) = mx + b to be one-to-one, what must be true about its slope? If it is one- to-one, find its inverse. Is the inverse linear? If so, what is its slope?