Question

A função f (x) - 2x +1 tem inversa, calcule e dê o valor numérico f -1 (-2)

Answer 1

f(x) = -2x + 1

y = -2x + 1

x = -2y + 1

-2y = x - 1

2y = -x + 1

y = ( -x + 1 ) / 2

f(-2) = ( - (-2) + 1 ) / 2

f(-2) = 3/2

Answer 2

$f(x)=2x+1$

$x=2y+1 \iff 2y=x-1 \iff y=\dfrac{x-1}{2}$

$f^{-1}(-2)=\dfrac{-2-1}{2}=\dfrac{-3}{2}$