Show that f and g are inverse functions

Показать описание

Show that f and g are inverse functions

Today we're going to be talking about a specific kind of problem where the problem tells you there's a function f and a function g, and you have to show that those two functions are inverses of each other. If that's something that you want a little help on or just want to see an example of how you would actually prove that, this is the video for you. I'm going to show you exactly how to do this type of problem step by step and explain it in a way that will help you when you have to go do this on other examples. So, if that sounds good to you be sure to stick around to the end of the video so you can see all the tips and tricks you're going to need to solve this type of problem on your own.

The problem is
Show that f and g are inverse functions
(a) algebraically
(b) graphically
f(x) = 3-4x
g(x) = (3-x)/4

Chapters
0:00 Introduction
0:48 The problem
1:44 Solving algebraically
5:40 Algebraically proved
5:51 Solving graphically
12:01 Shown graphically
•••••••••••••••••••••••••••••••••••••
••••••••••••••••••••••••••••••••••••
Some links in this video description may be affiliate links meaning I would get a small commission for your purchase at no additional cost to you.

#jakes_math_lesson
#inversefunctions
#freemathsclass

show that f and g are inverse functions algebraically and graphically,inverse functions,inverse function,two functions are inverses of each other,how to prove two functions are inverses,proving two functions are inverses,inverses of each other,verifying inverse functions,learn how to prove two functions are inverses of each other,proving inverse functions,two functions are inverses,finding the inverse,two functions,verifying inverses,how to prove inverse functions

Рекомендации по теме

Show that f and g are inverse functions

Prove that : F= G

If functions f and g are increasing on an interval, show that f+g is increasing on the same interval

f/g is continuous

Verify that f and g are inverse functions algebraically and graphically f(x) = x^3, g(x)=x^1/3

If functions `f:A to B` and `g : B to A` satisfy `gof= I_(A),` then show that `f` is one-one and g

Find the inverse function of f, and show that f and g are inverse functions

Let f,g and h be functions from R to R. Show that (f + g)oh = foh + goh (f.g)oh = (foh).(goh)

Show that f and g are inverses, Example 2

Find f(g(x)) and g(f(x)) and Determine if the Functions f and g are Inverses

Show that f and g are inverses, Example 1

If f and g are the functions whose graphs are shown

If functions f: A→B and g: B→A satisfy g ∘ f=I_A, then show that f is oneone and g is onto. Hene......

Prove Max(f(n),g(n))= Theta(f(n)+g(n))

Using the Function Values of f and g Shown in Table 4 to Evaluate: (f ⚬ g)(1) and (f ⚬ g)(2)

Show that if f : A → B and g : B → C are onto, then gof : A → C is also onto.

Let f, g and h be functions from R to R. Show that `(f+g)oh=foh+goh(fdotg)oh= (foh)dot(goh)`...

Proof that f is O(g)

If f and g are two bijections; then gof is a bijection and `(gof)^-1 = f^-1 o g^-1`

Proof that f(a) = a^(-1) is a Group Isomorphism if G is Abelian

If f(x) and g(x) are differentiable function ; then show that `f(x)pmg(x)` are also differenti

Prove (f • g)' ≠ f' • g' for any functions f and g

In Exercises 23-34, show that f and g are inverse functions (a) algebraically and (b) graphically. …...

In Exercises 23-34, show that f and g are inverse functions (a) algebraically and (b) graphically. …...

If gof is onto and g is one one then f is onto | If gof is surjective and g is bisective || NumberX