ladejabrown8280 ladejabrown8280
  • 03-04-2021
  • Mathematics
contestada

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

Respuesta :

nuuk nuuk
  • 03-04-2021

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]

Answer Link

Otras preguntas

A customer just paid $35,620 for a delivery van. If the percent markup based on cost is 30%, what was the cost?
SPANISH 3 PLS HELP!! RIGHT ANSWERS! Escoge la mejor respuesta. Select the best answer. ¿Cuál es un dicho mexicano que se usa cuando estás sorprendido? A.
What mass of water must be added to 5g of nacl to make 5% mass persentage of the solution?
Im stuck on this promblem please help! Thanks
Five numbers have an average of 16. If the first four numbers have a sum of 68, what is the fifth number
Nicotiana rustica is the only species of tobacco cultivated in the world. a. True b. False
Help ( seventh grade math packet)
In the experimental procedure: cellualar respiration, what gas was taken up by the soybeans
Please help as I can’t figure this out :(
Solve the simultaneous equation1 3m-4n=1,4m-6n=5.answer this