Answer to Question #242291 in Algebra for councilor

Question

4. Consider the functions f(x) = x

2 + 1 and g(x) = 1

x

, evaluate (g ◦ f)(−

1

2

)

Answer 1

$f(x)=x^2+1$

$g(x)=1/x$

$g\circ f=1/(x^2+1)$

$g\circ f(-12)=1/((-12)^2+1)=1/145$