helinwang helinwang
  • 10-08-2019
  • Mathematics
contestada

TRUE OR FALSE: FOR ANY FUNCTION, X=F^-1(Y), THEN Y=F(X). PLEASE EXPLAIN

Respuesta :

Аноним Аноним
  • 10-08-2019

Answer:

True.

Step-by-step explanation:

For example let f(x) = 3x + 1  then f-1(x)  is found as follows

Let f(x) = y = 3x + 1 then

3x = y - 1

x = (y-1) / 3

x = f-1(x) = (x - 1)/3.

So:

Replacing the x  in y by (x - 1)/3 :-

x = f(-1)(y) = ( (3x + 1) - 1) / 3

= 3x / 3

= x.

So y = f(x).

Answer Link

Otras preguntas

Is my answer correct
graph the function y=x^2 -6x+8
Use Einstein’s energy equation to solve the following problem. Recall that the speed of light is 3 x 108 m/s. If a 5.0-kg stone is completely converted to energ
please help someone??
Answer this question in Spanish: “¿Qué te gusta hacer el fin de semana?”
___ solution where water is the solvent
The French and Indian War is sometimes described as “a war for control of America”. To what extent was this true? What were the outcomes of this conflict?
the set of ordered pairs in the mapping below can be described as which of the following? a) both a relation and a functionb) a function only c) a relation only
Which equation illustrates the additive inverse property? A. 6 + 0 = 6 B. 6 + (-6) = 0 C. 6 × 0 = 0 D. -6 + 6 = 6 + (-6)
I need help on this pls help ASAP pls!!