If f(x)= x^3;  g(x)= 2x . Then evaluate gof(x)+ fog (x) 

  • Option 1)

    8x^{3}+x^{9}

  • Option 2)

    10x^{3}

  • Option 3)

    3x^{3}

  • Option 4)

    5x^{2}

 

Answers (1)

As we have learned

Properties of composite function -

The composition of function is not commutative.

 

- wherein

f\! og \neq g\: o\! f

 

 

fog(x)= f(2x)= (2x)^3

gof(x) = g(x)^3(2x)^3

\Rightarrow fog (x) +gof (x) = 8x^3+ 2x^3= 10 x^3

 

 

 

 

 


Option 1)

8x^{3}+x^{9}

Option 2)

10x^{3}

Option 3)

3x^{3}

Option 4)

5x^{2}

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