To write equation of inverse of linear function
Answer to Problem 4.8STP
Inverse is
Explanation of Solution
Given information:
Points are (2, -1) and (-1, -7)
Graph:
Formula used:
Calculation:
To find inverse of a linear function, find the function first.
Equation of line is
According to question, Points are (2, -1) and (-1, -7)
Let,
Slope of line,
Substituting values,
Solving,
So,
Slope of line,
Putting value of slope in equation of line,
By looking at graph, find x -intercept and y -intercept.
y -intercept, b = -5
From above, function of line is:
Now, inverse of the function is,
If a function is mapping x to y, then inverse should map y to x ,
Interchange the variable:
Solve the function for y ,
Hence, inverse of the function is,
Chapter ISG Solutions
Algebra 1, Homework Practice Workbook (MERRILL ALGEBRA 1)
Additional Math Textbook Solutions
PREALGEBRA
College Algebra
College Algebra (7th Edition)
Linear Algebra and Its Applications (5th Edition)
Elementary Statistics: Picturing the World (7th Edition)
- Algebra and Trigonometry (6th Edition)AlgebraISBN:9780134463216Author:Robert F. BlitzerPublisher:PEARSONContemporary Abstract AlgebraAlgebraISBN:9781305657960Author:Joseph GallianPublisher:Cengage LearningLinear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage Learning
- Algebra And Trigonometry (11th Edition)AlgebraISBN:9780135163078Author:Michael SullivanPublisher:PEARSONIntroduction to Linear Algebra, Fifth EditionAlgebraISBN:9780980232776Author:Gilbert StrangPublisher:Wellesley-Cambridge PressCollege Algebra (Collegiate Math)AlgebraISBN:9780077836344Author:Julie Miller, Donna GerkenPublisher:McGraw-Hill Education