Question

Consider these functions: f(x)=x+1, g(x)=2/x
Which polynomial is equivalent to (fog)(x)?
A.2/x+1
B.2x+2/x
C.2/x +1
D.2/x^2+x

Answer 1

Answer:

A.2/x+1 ............

Answer 2

The composite function f(g(x)) is 2/x + 1

Given the function

• f(x)=x+1
• g(x)=2/x

We are to get the composite function (fog)(x)

This can be written as:

f(g(x)) = f(2/x)

f(2/x)= 2/x + 1

Hence the composite function f(g(x)) is 2/x + 1

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