cweave39 cweave39
  • 03-12-2016
  • Mathematics
contestada

Let f(x)= x^2 + 5. Find formulas for f(f(x)) and f(f(f(x)))

Respuesta :

apologiabiology
apologiabiology apologiabiology
  • 03-12-2016
f(f(x)) means subsitute f(x) or x^2+5 for x in the other one
f(f(x))=(f(x))^2+5
f(x^2+5)=(x^2+5)^2+5
f(f(x))=x^4+10x^2+25+5
f(f(x))=x^4+10x^2+30

f(f(f(x)))
just subsitutte f(f(x)) for x in f(x)
f(f(f(x)))=(x^4+10x^2+30)^2+5
f(f(f(x)))=(x^4+10x^2+30)^2+5
f(f(f(x)))=x^8+20x^6+150x^4+500x^2+625+5
f(f(f(x)))=x^8+20x^6+150x^4+500x^2+630


so


f(f(x))=x^4+10x^2+30
f(f(f(x)))=x^8+20x^6+150x^4+500x^2+630
Answer Link

Otras preguntas

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
(10y^3+20y^2+55y)/5y
Prove that (x^5)-(x^2)+2x +3=0 has at least one real root. Prove that x=cosx has at least one solution.
(10y^3+20y^2+55y)/5y
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 is mass transit in cities a possible solution tk urban air pollution?
Find Domain of the functionsquare root of (x-8)/x(x-9)
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?
Historians of china have traditionally dated the beginning of Chinese civilization to the founding of the what??
How is it possible for Mercury to have frozen ice ?