If-f-2-x-3-2-4x-and-f-1-p-2-then-p-

Question Number 124444 by benjo_mathlover last updated on 03/Dec/20

I f f (\frac{2}{x}) = \frac{3}{2 + 4 x} a n d f^{- 1} (p) = 2

t h e n p = ?

Answered by bemath last updated on 03/Dec/20

\Leftrightarrow f^{- 1} (p) = 2 t h e n f (2) = p

w e g e t {\begin{cases} \frac{2}{x} = 2; x = 1 \\ p = \frac{3}{2 + 4 x} = \frac{3}{2 + 4 (1)} = \frac{1}{2} \end{cases}

Answered by mathmax by abdo last updated on 03/Dec/20

f^{- 1} (p) = 2 \Rightarrow p = f (2) but f (\frac{2}{x}) = \frac{3}{2 + 4 x} let take x = 1 \Rightarrow

f (2) = \frac{3}{6} = \frac{1}{2} \Rightarrow p = \frac{1}{2}