Answered

Find the best answers to your questions at Westonci.ca, where experts and enthusiasts provide accurate, reliable information. Get quick and reliable solutions to your questions from knowledgeable professionals on our comprehensive Q&A platform. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform.

Pls help me before I have another mental breakdown

Pls Help Me Before I Have Another Mental Breakdown class=

Sagot :

Answer:

a) fog(x) = (x-2)⁴ +4

b) (g o f) (x) = x⁴ + 2

c) hog(x) = [tex]\sqrt{x-2}[/tex]

Step-by-step explanation:

Step(i):-

Given that the function

f(x) = x⁴+4 , g(x) = x-2 , h(x) = √x

f o g (x) = f(g(x))

           = f(x-2)

         = (x-2)⁴ +4  (∵ f(x) = x⁴ +4))

fog(x) = (x-2)⁴ +4

Step(ii):-

(g o f) (x)  = g(f(x))

              = g(x⁴ +4)

             =  x⁴ +4 -2   ( ∵ g(x) = x-2)

            = x⁴ + 2

(g o f) (x) = x⁴ + 2

Step(iii):-

hog(x) = h(g(x))

         = h(x-2)

         =  [tex]\sqrt{x-2}[/tex]    

 hog(x) = [tex]\sqrt{x-2}[/tex]

We appreciate your visit. Hopefully, the answers you found were beneficial. Don't hesitate to come back for more information. Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. Thank you for using Westonci.ca. Come back for more in-depth answers to all your queries.