Question
A. x^2-3n=0 D. x^2-3x-3 R x^2-7x+5 c x^2+x-7 F. x^2-3x-7 in Fungsi invers dari f(x)=(3x+4)/(2x-1),x+(1)/(2) adal ah f^-1(x)=ldots A (2x+1)/(3x-4),xneq (4)/(3) D (2x+4)/(2x-1),x+(1)/(2) R (x+4)/(2x-3),xneq (3)/(2) E (x+4)/(2x+3),x=-(3)/(2) C. (3x-4)/(2x+1),xneq -(1)/(2)
Solution
4
(164 Votos)
Bruna
Mestre · Tutor por 5 anos
Resposta
To find the inverse of the function \( f(x) = \frac{3x+4}{2x-1} \), we need to follow these steps:1. **Replace \( f(x) \) with
:**
2. **Swap
and
:**
3. **Solve for
:** Multiply both sides by
:
Expand the left side:
Rearrange terms to isolate terms involving
on one side:
Factor out
from the left side:
Solve for
:
Thus, the inverse function is:
Therefore, the correct answer is:B.