gjithki
gjithki gjithki
  • 02-06-2022
  • Mathematics
contestada

What is the inverse of f(x)=x^4+7 for x>0 where function g is the inverse of function f?
-

What is the inverse of fxx47 for xgt0 where function g is the inverse of function f class=

Respuesta :

loneguy
loneguy loneguy
  • 02-06-2022

Answer:

[tex]g(x) = \sqrt[4]{x-7},~ x\geq 7[/tex]

Step by step explanation:

[tex]y= f(x) = x^4+7\\\\\text{Replace x with y and solve for y:}\\\\~~~~~~~x = y^4 +7\\\\\implies y^4 = x-7\\\\\implies y = \pm\sqrt[4]{x-7}\\\\ \implies f^{-1}(x) = \pm\sqrt[4]{x-7}[/tex]

Answer Link

Otras preguntas

When the earth’s surface gets weathered away over time, it is known as:
Do predators really kill only the old and sick prey? Please give me a answer
Evaluate log416 -2 1/2 2
When the energy flow through an ecosystem is measured at each trophic level, __________ of the available energy passes from one level to the next. 1% to 2% 5% t
Or a fire 4 you may not operate a vehicle unless all child passengers __________ are either wearing a safety belt assembly or are securely fastened into an appr
A beachgoer leaves a pair of sandals on the shore while she swims. When she puts the sandals on again, the bottom of her feet will feel hot because _____.
¿Qué fecha es el lunes si hoy es martes, el 29 de diciembre
How does the symbol of the thieves affect the meaning in The Alchemist? Select each correct answer. The thieves illustrate that people have different types of P
Wy does oshkosh jog around the high school track 98 times a day
what is the difference between sexual and asexual reproduction