dgr6lfordithleywe6et
dgr6lfordithleywe6et dgr6lfordithleywe6et
  • 20-09-2016
  • Mathematics
contestada

Which of the following statements have the same result? Explain each step in solving each one.

f(1) when f(x) = 5x + 1
f-1(3) when f(x) = "2x plus 3, all over 5
3y - 7 = y + 5

Respuesta :

HomertheGenius
HomertheGenius HomertheGenius
  • 24-09-2016
1 )
 f ( 1 ) = 5 * 1 + 1 = 5 + 1 = 6
2 )
f ( x ) = (2 x + 3) / 5   ( we have to find an inverse function )
y = ( 2 x + 3 ) / 5
5 y = 2 x + 3
2 x = 5 y - 3
x = ( 5 y - 3 ) / 2
f^(-1) ( x ) = ( 5 x - 3 ) / 2
f^(-1) ( 3 ) = ( 15 - 3 ) / 2 = 12 / 2 = 6
3 )
3 y - 7 = y + 5
3 y - y = 5 + 7
2 y = 12
y = 6
Answer:  All have the same result. 
Answer Link

Otras preguntas

Rain, snow, sleet, and hail are all forms of A. humidity B. evaporation C. precipitation D. condensation Please select the best answer from the choices provided
Name 2-3 heroes that you know from either literature or popular culture.  Did they begin their heroic careers as "insiders" or "outsider"?
Are all real numbers either rational or irrational?​
What is a constitution?
Write the equation through (2,5) parallel to the line through (8,0) and (0,8)
What was the 3/5th Compromise? a. 3/5ths of the House needed to propose a law b. Slaves were considered 3/5ths a person c. 3/5ths of the states would allow slav
Plz help Find ‘x’ & ‘y’
Part II. Match the items in column A with those in B "A" "B" 1. The last king of Kaffa A. Nur 2. Council of Yem officials B. kawo 3. The famous ruler of Jimma C
How many meters are in 28% of 15 km? Explanation Please with proportions. I will reward the brainiest
Type a digit that makes this statement true. 145,00 is divisible by 5.