Answered

Welcome to Westonci.ca, the place where your questions find answers from a community of knowledgeable experts. Connect with professionals on our platform to receive accurate answers to your questions quickly and efficiently. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform.

Given: g(x) = Square Root x - 4 and h(x) = 2x-8 What are the restrictions on the domain of g ⋅ h? x ≥ ____

Sagot :

Answer: [tex]x\geq 6[/tex]

Step-by-step explanation:

Given

[tex]g(x)=\sqrt{x-4}\\h(x)=2x-8[/tex]

Now, g of h i.e. [tex]g(h(x))[/tex]

Put h(x) in place of x in g(x)

[tex]\Rightarrow g(h(x))=\sqrt{(2x-8)-4}\\\\\Rightarrow g(h(x))=\sqrt{2x-12}[/tex]

Now, the value inside square root must be greater than zero

[tex]\Rightarrow 2x-12\geq 0\\\\\Rightarrow 2x\geq 12\\\\\Rightarrow x\geq 6[/tex]

Thank you for choosing our platform. We're dedicated to providing the best answers for all your questions. Visit us again. Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. Get the answers you need at Westonci.ca. Stay informed by returning for our latest expert advice.