4. (a) Show that the function defined by f(x)=2x: (x+2) is one to one and onto from its domain to its range, Find the inverse f.
4. (a) Show that the function defined by f(x)=2x: (x+2) is one to one and onto from its domain to its range, Find the inverse f.
Chapter3: Functions
Section3.7: Inverse Functions
Problem 2SE: Why do we restrict the domain of the function f(x)=x2 to find the function's inverse?
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Can you show how to solve questions like this please?
![(x+2) is one to one and onto
4. (a) Show that the function defined by f(x) =
from its domain to its range, Find the inverse f.
2x-3
(b) Define a function F:F: R XR → R XR as follows: For all (x, y) = R XR,
F(x, y) = (x + y,x-y).
Show that F is one to one and onto, and find its inverse F-1.
(c) Show that the function f: R → R, by f(x) = x² is neither not one-to-one nor onto.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9656a833-2928-468d-bda4-7d65920b0a10%2F60b19eaf-5e0b-466c-8e20-bb44ee509ef3%2Fts3570f_processed.png&w=3840&q=75)
Transcribed Image Text:(x+2) is one to one and onto
4. (a) Show that the function defined by f(x) =
from its domain to its range, Find the inverse f.
2x-3
(b) Define a function F:F: R XR → R XR as follows: For all (x, y) = R XR,
F(x, y) = (x + y,x-y).
Show that F is one to one and onto, and find its inverse F-1.
(c) Show that the function f: R → R, by f(x) = x² is neither not one-to-one nor onto.
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