Answered

Get the answers you need at Westonci.ca, where our expert community is dedicated to providing you with accurate information. Get immediate and reliable answers to your questions from a community of experienced professionals on our platform. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform.

Manish writes the functions g(x) = rootindex 3 startroot negative x endroot â€"" 72 and h(x) = â€""(x 72)3. which pair of expressions could manish use to show that g(x) and h(x) are inverse functions? rootindex 3 startroot x cubed endroot minus 72 and negative (rootindex 3 startroot negative x endroot 72) cubed rootindex 3 startroot negative x cubed endroot minus 72 and negative (rootindex 3 startroot negative x endroot 72) cubed rootindex 3 startroot (x 72) cubed endroot minus 72 and negative (rootindex 3 startroot negative x endroot minus 72 72) cubed rootindex 3 startroot (negative x 72) cubed endroot minus 72 and negative (rootindex 3 startroot negative x endroot minus 72 72) cubed

Sagot :

Here we want to find the expressions we need to use to see if the functions g(x) and h(x) are inverses of each other.

Two functions f(x) and g(x) are inverses if:

f( g(x) ) = x

g( f(x) ) = x

In this case, we have the functions:

g(x) = ∛(-x) - 72

h(x) =  -(x + 72)^3

Then the expressions we need to check are:

g( h(x) ) = ∛(-h(x)) - 72 = ∛(+(x + 72)^3) - 72 = (x + 72) - 72 = x

h( g(x) ) = -(g(x) + 72)^3 = -(∛(-x) - 72 + 72)^3 = -(∛(-x) )^3 = x

So we found that the two expressions needed are:

∛((x + 72)^3) - 72  and -(∛(-x) - 72 + 72)^3

learn more of function here https://brainly.com/question/24321017

#SPJ4

Thanks for using our platform. We're always here to provide accurate and up-to-date answers to all your queries. We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. Find reliable answers at Westonci.ca. Visit us again for the latest updates and expert advice.