felixfelicis08 felixfelicis08
  • 01-07-2017
  • Mathematics
contestada

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

f of x equals eight divided by x and g of x equals eight divided by x

Respuesta :

amathzing
amathzing amathzing
  • 01-07-2017
f(x) = 8/x and g(x) = 8/x

To find f(g(x)), all you do is substitute g(x) into the x value of f(x). 

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

Similarly g(f(x)) is found by substituting f(x) into the x value of g(x)

g(f(x)) = 8/(8/x) which = x
Answer Link

Otras preguntas

How is it possible for Mercury to have frozen ice ?
Which equation has the same y-intercept as y=4x-3?a. y-3=x              b. y=8x+3    c. 3-y=4x      d. y=-3+8xWhich of the following is the equation of the line
Marika and Freddy sold 70 homes for Ron Realty. If Marika sold 2.5 times as many homes as Freddy, how many homes did each sell?
Prove that (x^5)-(x^2)+2x +3=0 has at least one real root. Prove that x=cosx has at least one solution.
Data are drawn from a symmetric and bell shaped distribution with a mean of 120 and a standard deviation of 5. There are 900 observations in the data set. What
Scarcity is the condition of not having enough goods and services to satisfy everyone's?
Which equation has the same y-intercept as y=4x-3?a. y-3=x              b. y=8x+3    c. 3-y=4x      d. y=-3+8xWhich of the following is the equation of the line
How were life forms affected by the rise in atmospheric oxygen levels that began 2.2 billion years ago?
How were life forms affected by the rise in atmospheric oxygen levels that began 2.2 billion years ago?
(10y^3+20y^2+55y)/5y