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

A word’s _____ may include the sentence, the surrounding words, or the situation in which a word is used
You may calm an Agitated person by giving the person a
show that 4 and (-5) are zeroes of the function
Animal shelter charges 119 to adopt a pet on Saturday two dogs and seven cats were adopted how much money did the animal shelter received on those adoptions
i need to know what this means
a sample of metal had a mass of 17.29g and a volume of 5.68mL what is the density of this metal
Haley is trying to pull an object upward. The below forces are acting on the object. Fp = 5500N Fg = 6000N Which represents the net force? ← 500N → 500N ↑ 500
Where does a medical examiner check for rigor mortis?
Why would the French be more interested in the northern areas of America
1/3m+3-5/6m=-15 what is the value of m?