Composite functions

[xxMsJojoxx]

I can't figure out how to solve the beginning part f(x+h).

This is how far I got:



How do I 'plug in' to the equation?

 

[skeeter]

[MATH](x+h)^2 - x^2[/MATH]

 

[xxMsJojoxx]

[MATH](x+h)^2 - x^2[/MATH]

Thanks. But it's supposed to be one of the below answers.


And I'm still not sure how I can get from to the correct multiple choice answer.

 

[skeeter]

you have to expand [MATH](x+h)^2[/MATH] and combine like terms ...

 

[xxMsJojoxx]

you have to expand [MATH](x+h)^2[/MATH] and combine like terms ...

I finally got it. Thank you!

 

[Steven G]

I prefer to use the difference of squares rule: A^2 - B^2 = (A+B)(A-B). So (x+h)^2 - (x)^2 = ((x+h)+x)((x+h)-x)= (2x+h)(h)