Answered

Discover new information and insights with the help of IDNLearn.com. Join our platform to receive prompt and accurate responses from experienced professionals in various fields.

what is the inverse of g?
g(x) = 3/x+7

Sagot :

VirαtKσhliidn

Given function :-

[tex]\bf \implies g(x) = \dfrac{3}{x}+7[/tex]

  • To find its reverse , substitute y = g(x) .

[tex]\bf \implies y = \dfrac{3}{x}+7[/tex]

  • Interchange x and y .

[tex]\bf \implies x = \dfrac{3}{y}+7[/tex]

  • Solve for y .

[tex]\bf\implies \dfrac{3}{y}= x -7 \\\\\bf\implies y =\dfrac{3}{x-7} [/tex]

  • Replace y with f-¹(x) .

[tex]\implies\boxed{\red{\bf f^{-1}(x) = \dfrac{3}{x-7} }}[/tex]

Your participation means a lot to us. Keep sharing information and solutions. This community grows thanks to the amazing contributions from members like you. IDNLearn.com provides the best answers to your questions. Thank you for visiting, and come back soon for more helpful information.