emmabell4 emmabell4
  • 11-08-2019
  • Mathematics
contestada

(fºg)(x)

You are given f(x)= cube root x-1 and g(x)= x squared + 1. How do i solve?

Respuesta :

Percivle
Percivle Percivle
  • 11-08-2019

Answer:

Cbrt(x²) or x^(2/3)

Step-by-step explanation:

It's similar to the way you would normally just insert a number into the function, except here you're inserting one function into another function. (f°g) implies that g(x) is the input, while if it were (g°f), f(x) would be the input. So:

  • f(x)= Cbrt(x-1)
  • g(x)=x²+1
  • ((f°g)(x)) =f(g(x))

With that we can say:

((f°g)(x)) =f(g(x))=Cbrt([x²+1]-1)=Cbrt(x²) or x^(2/3)

Answer Link

Otras preguntas

What is the summary of the book 'they cage the animals at night' in one sentence?
If a homozygous dominant parent and a heterozygous parent are crossed, what percentage of the offspring are expected to be homozygous recessive?
personification for hw?
Which of the following did not strive to keep literature alive and to inform the public of the seventeenth and eighteenth centuries? a. Jonathon Swift b. Oliver
Energy efficiency is usually obtained through _______. a. increased funding b. technology c. government programs d. all of the above
how many centimeters are equal to 0.05 meters
The tendency to view one's own culture or group as superior to others.
The term essay comes from a French word essai, meaning to try to attempt something. a. True b. False
Which of the following is an advantage of a sole proprietorship? A. It is easy to expand if it succeeds B. It faces few government rules C. It is easy to get fi
Potatoes are an example of _____.