Question

dada função f(x)=x+1/x
calcule
a)f (3)
b) f (-1)
c) f(1)+ f(2)
d) f (1/2)

Answer 1

Resposta:

Olá!

Explicação passo-a-passo:

$f(x)=\frac{x+1}{x}$

a) $f(3)$

$f(3)=\frac{3+1}{3}$

$f(3)=\frac{4}{3}$

b) $f(-1)$

$f(-1)=\frac{(-1)+1}{(-1)}$

$f(-1)=\frac{-1+1}{-1}$

$f(-1)=\frac{0}{-1}$

$f(-1)=0$

c) $f(1)$

$f(1)=\frac{1+1}{1}$

$f(1)=\frac{2}{1}$

$f(1)=2$

$f(2)=\frac{2+1}{2}$

$f(2)=\frac{3}{2}$

$f(1)+f(2)=2+\frac{3}{2}=\frac{4+3}{2}=\frac{7}{2}$

d) $f(\frac{1}{2})$

$f(\frac{1}{2}) =\frac{\frac{1}{2}+1 }{\frac{1}{2} }$

$f(\frac{1}{2}) =\frac{\frac{1+2}{2} }{\frac{1}{2} }$

$f(\frac{1}{2}) =\frac{\frac{3}{2} }{\frac{1}{2} }$

$f(\frac{1}{2}) =\frac{3}{2} } .\frac{2}{1}$

$f(\frac{1}{2}) =\frac{3.2}{2.1} }$

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

Bons Estudos!