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Let R be the set of …

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Let R be the set of all real numbers . If f:R-R is giev by f(x)=3x + 2, for all x belongs to R and g:R-R is given by g(x)= x/x^2 + 1 , for all x belongs to R find the following f°g, g°f, f°f and g°g .
  • 2 answers

Arnab H. 3 years, 11 months ago

Thank you so much . ??

Account Deleted 3 years, 11 months ago

Here I will tell you how to find F0g & hope you will find the remaining.

f0g is pronounced as f of g(x)

f0g = f{g(x)} = f {xx2+1

We have put the value of g(x) given in question.

Now let us assume that  xx2+1=y

Therefore, f {xx2+1}  = f{y}

as f{x} = 3x+2

f{y} = 3y +2

Therefore

f{xx2+1} = 3 * xx2+1 + 2

=> f0g = 3xx2+1+2

On Solving

f0g = 3x+2x2+2x2+1

Answer.

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