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

write words to match the expression. 24- ( 6+3)
what other areas beside egypt did the new kingdom pharoahs conquer
write words to match the expression. 24- ( 6+3)
write words to match the expression. 24- ( 6+3)
what other areas beside egypt did the new kingdom pharoahs conquer
If you are writing a persuasive essay in favor of banning vending machines in schools, which is a counterargument you might anticipate?
Which two numbers have a difference of 5 and a product of 3.36???
which city was located nearest the nile river delta
what other areas beside egypt did the new kingdom pharoahs conquer
which city was located nearest the nile river delta