What are the pair of functions representing f(x) and g(x) if f(g(x))= 4x+11?
a.) f(x)=4x+7 and g(x)=x-3
b.) f(x)=4x-7 and g(x)=x+3
c.) f(x)=x-3 and g(x)=4x+7
d.) f(x)=4x+3 and g(x) x+2

Thank you so much for any help!

Question

What are the pair of functions representing f(x) and g(x) if f(g(x))= 4x+11?
a.) f(x)=4x+7 and g(x)=x-3
b.) f(x)=4x-7 and g(x)=x+3
c.) f(x)=x-3 and g(x)=4x+7
d.) f(x)=4x+3 and g(x) x+2

Thank you so much for any help!

hartnn · Answer

Lets take first option:

$f(x) = 4x+7 \ g(x) = x-3 $

to find $f(g(x))$, just replace 'x' in f(x) by g(x)

$f(g(x)) = 4(x-3)+7 = 4x-12+7 = 4x-5$

This is not 4x+11 :)
So fist option is not your answer.

Can you try this for other options?

anonymous · Answer

Yay!  I think I understand.  Is it d? 4(x+2)+3=4x+8+3=4x+11

hartnn · Answer

YES.
you're correct :) 
Good work!

anonymous · Answer

Awesome, thank you so much!

hartnn · Answer

most welcome ^_^

you seem to be new here.

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