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,

Question

3 years ago

5

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

Mathematics

2 answers:

Studentka2010 [4] · Answer 1 · 2022-01-21T09:53:22+03:00

Studentka2010 [4]3 years ago

8 0

Answer:

x/x+3

Step-by-step explanation:

7nadin3 [17] · Answer 2 · 2022-01-21T08:23:51+03:00

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