Question

The function h (x) = StartFraction 1 Over x squared + 1 EndFraction is the result of the composition f(g(x)). If g(x) = x2 + 1, what is f(x)? f (x) = StartFraction 1 Over StartRoot x EndRoot f (x) = StartFraction 1 Over x + 1 EndFraction f (x) = StartFraction 1 Over x squared + 1 EndFraction

Answer 1

Answer:

x/x+3

Step-by-step explanation:

Answer 2

Answer:

f(x) = 1/x

Step-by-step explanation:

Given h(x) = 1/(x²+ 1) and g(x) = x²+ 1. If h(x) = f(g(x)) then;

1/(x²+ 1) = f(x²+ 1)

f(x²+ 1) = 1/(x²+ 1)

This means that function of (x²+ 1) will give 1/(x²+ 1). To  get f(x), we will simply replace x²+ 1 in the function f(x²+ 1) with x to give;

f(x) = 1/x

Hence the function of x i.e f(x) is 1/x