source : algebra.com

## Confirm that f and g are inverses by showing that f(g(x)) = x and g(f(x)) = x. f(x)=8/x and g(x)=8/x show work

SOLUTION: Confirm that f and g are inverses by showing that f(g(x)) = x and g(f(x)) = x.

f(x)=8/x and g(x)=8/x

show work

Algebra ->

Functions

-> SOLUTION: Confirm that f and g are inverses by showing that f(g(x)) = x and g(f(x)) = x.

f(x)=8/x and g(x)=8/x

show work

Log in or register.Username: Password: Register in one easy step!.Reset your password if you forgot it.’;

return false;

} “>

Log On

Click here to see ALL problems on Functions

Question 644387: Confirm that f and g are inverses by showing that f(g(x)) = x and g(f(x)) = x.

f(x)=8/x and g(x)=8/x

show work

(Scroll Down for Answer!)

Did you know that Algebra.Com

has hundreds of free volunteer tutors who help people with math

homework? Anyone can ask a math question, and most questions get

answers!

OR get immediate PAID help on:

Answer by jim_thompson5910(35256) (Show Source):

You can put this solution on YOUR website! f(x)=8/x

f(g(x))=8/(g(x))

f(g(x))=8/(8/x)

f(g(x))=(8/1)/(8/x)

f(g(x))=(8/1)*(x/8)

f(g(x))=(8x)/(1*8)

f(g(x))=(8x)/(8)

f(g(x))=x

The same works in reverse

g(x)=8/x

g(f(x))=8/(f(x))

g(f(x))=8/(8/x)

g(f(x))=(8/1)/(8/x)

g(f(x))=(8/1)*(x/8)

g(f(x))=(8x)/(1*8)

g(f(x))=(8x)/(8)

g(f(x))=x

So these both in conjunction show that f and g are inverses of each other.

————————————————————————————————————–If you need more help, email me at [email protected]

Also, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Thank you

Jim————————————————————————————————————–

Derivatives Review Flashcards | Quizlet – The graphs of the linear functions f and g are shown above. The table above gives values of the differentiable functions f and g and their derivatives at x = 0. If h(x)=f(x)g(x), what is the value of h'(0) ?1 Section 2.5: Complex Zeros and Fundamental Theorem of Algebra Section 2.6: Rational Functions 1) Find f(g(x)) and g(f(x) to show that f(x) and g(x) are Complex Numbers The imaginary number i is defined as so that Complex numbers are in the form a + bi where a is called the real part and bi is the…Answered. Confirm that f and g are inverses by showing that f(g(x)) = x and g(f(x)) = x. (1 point) f(x) = and g(x) =.

1) Find f(g(x)) and g(f(x) to show that f(x) and g(x) are inverses – Use calculator to draw the graph F (x) = x^4-4x^3-x^2+12x-2….inverses by showing that f(g(x)) = x and g(f(x)) = x. f(x) = the quantity x minus seven divided by the quantity x plus three. and g(x) = quantity negative three x minus seven Using units of books/minutes, write an equation involving rates using rational functions, solve for x, and interpret the results in context.Are you confused by f(g(x))? In this video we show how to deal with this and other "composition of functions" situations. It's simple and short, so check it…

Confirm that f and g are inverses by showing… – Brainly.in – It has already been pointed out that the conclusion is false in this question. The statement, f(g(x)) =g(f(x)) , says the functions, f() and g() , commute under functional composition. The commutative property is a group property which holds for p…For F(G(X)), plug in all of G(x) for the x values in F(x). That would look like So the first one is true. Follow the same steps for g(f(x)). Plug in all of (f(x)) for where g(x) has x's. then manipulate to get the answer x, if you do get just x, then both can be confirmed true.Therefore, g is the inverse function of f , so we can rename g as f 1, which means that f 1(x) = x 3. • Let f : R ! The denition of an inverse function is given above, but the essence of an inverse function is that it reverses the assignment dictated by the original function.