Question
Question For the function f(x)=5x^(1)/(5)+3 , find f^-1(x) Answer f^-1(x)=(x^5-3)/(5) f^-1(x)=(} x 5-3 f^-1(x)=(x^5)/(5)-3 f^-1(x)=((x-3)/(5))^5
Solution
4.1
(276 Votos)
Josi
Profissional · Tutor por 6 anos
Resposta
To find the inverse of the function
, we need to follow these steps:1. Replace
with
:
2. Swap
and
:
3. Solve for
: - Subtract 3 from both sides:
- Divide both sides by 5:
- Raise both sides to the power of 5:
Therefore, the inverse function is
.