Question

AJUDEMMMM PFV


Encontre a função inversa de:
$f( x) = \frac{(3x - 14)}{4}$

a) $f ^{-1} (x)= \frac{(3x-14)}{4}$

b) $f ^{-1} (x)= \frac{(3x-14)}{3}$

c) $f ^{-1} (x)=\frac{4-10}{3}$

Answer 1

Oie, Td Bom?!

$f(x) = \frac{3x - 14}{4}$

• $f(x)⟶y$.

$y = \frac{3x - 4}{4}$

• $x⟷y$.

$x = \frac{3y - 4}{4}$

$\frac{3y - 4}{4} = x$

$4 \: . \: \frac{3y - 4}{4} = 4x$

$3y - 4 = 4x$

$3y = 4x + 4$

$y = \frac{4}{3} x + \frac{4}{3}$

• $y⟶f {}^{ - 1} (x)$.

$f {}^{ - 1} (x) = \frac{4}{3} x + \frac{4}{3}$

Att. Makaveli1996