Question

Encontre a função inversa de: f(x)=(3x-14)/4 *

5 pontos

a)f-¹ (x)= (4x-14)/3

b) f-¹ (x)= (3x-14)/4

c) )f-¹ (x)= (4x+14)/3​

Answer 1

f(x)=(3x-14)/4

y = (3x-14)/4

(3x-14) = 4y

3x = 4y+14

x = 4y+14/3

↓ ↓

f-¹(x) = 4x+14/3 ===> c)

Answer 2

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