Question

Ache a função inversa:
a) Y= x+2
b) Y= 2x + 5/3
c) Y= 5x
d) Y= x - 1
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Answer 1

Resposta:

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Explicação passo-a-passo:

a) Y= x+2

$f(x)=x+2$

$y=x+2$

$x=y-2$

$f^{-1} (x)=x-2$

b) Y= 2x + 5/3

$f(x)=2x+\frac{5}{3}$

$y=2x+\frac{5}{3}$

$2x=y-\frac{5}{3}$

$x=\frac{y}{2} -\frac{5}{6}$

$f^{-1} (x)=\frac{x}{2} -\frac{5}{6}$

c) Y= 5x

$f(x)=5x$

$y=5x$

$x=\frac{y}{5}$

$f^{-1} (x)=\frac{x}{5}$

d) Y= x - 1

$f(x)=x-1$

$y=x-1$

$x=y+1$

$f^{-1} (x)=x+1$