anonymous
  • anonymous
Find and simplify each of the following assuming h does not equal 0.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
(a) f(x+h) (b) f (x+h)- f(x) |dw:1441057778984:dw|
anonymous
  • anonymous
(b) f(x+h) - f (x) ---> 4 (x+h)^2-7 (x+h)+6-4x^2 From here, I am not sure what to do.
anonymous
  • anonymous
(a) f (x+h) ---> 4 (x+h)^2- 7 (x+h) +6 4 (x^2+2xh+h^2)-7 (x+h) +6 4x^2+8xh+4h^2-7x-7h+6 I know this is correct.

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More answers

anonymous
  • anonymous
With (b) and (c), I just need help formatting the problem correctly.
Nnesha
  • Nnesha
what's f(x)= ?
anonymous
  • anonymous
f(x) = 4x^2-7x+6
anonymous
  • anonymous
is this algebra?
Nnesha
  • Nnesha
alright substitute all x for (x+h)
Nnesha
  • Nnesha
ohh wait i'll check ur work
anonymous
  • anonymous
It is functions, I'm reviewing for calc.
anonymous
  • anonymous
So, yeah, algebra. :]
anonymous
  • anonymous
pre-calculus
Nnesha
  • Nnesha
\[\huge\rm { 4x^2+8xh+4h^2-7x-7h+6 }\] this is correct
anonymous
  • anonymous
Thank you.
anonymous
  • anonymous
I'm having trouble for formatting (b) and (c).
anonymous
  • anonymous
*with
anonymous
  • anonymous
woah this is harder than i thought
Nnesha
  • Nnesha
\[\huge\rm \frac{ \color{reD}{ f(x+h)}-\color{green}{f(x)} }{ h}\] substitute f(x) for 4x^2-7x+6 and replace f(x+h) with 4x^2+8xh+4h^2-7x-7h+6
Nnesha
  • Nnesha
\[\large\rm \frac{ \color{Red}{ 4x^2+8xh+4h^2-7x-7h+6 }-\color{green}{(4x^2-7x+6) }}{ h }\] solve the numerator
anonymous
  • anonymous
Oh! I understand. I'm so slow. 8xh+4h^2-7h
Nnesha
  • Nnesha
what would be the next step ?
anonymous
  • anonymous
I'm not sure. Would we rewrite the answer correctly? If not, I don't know.
Nnesha
  • Nnesha
no that's right
anonymous
  • anonymous
Like 4h^2+8xh-7h?
Nnesha
  • Nnesha
\(\color{blue}{\text{Originally Posted by}}\) @Wondergiirl Oh! I understand. I'm so slow. 8xh+4h^2-7h \(\color{blue}{\text{End of Quote}}\) this is perfect now what is common in all 3 terms ?
anonymous
  • anonymous
Oh okay.
Nnesha
  • Nnesha
take out the common factor
anonymous
  • anonymous
Would we take out h?
Nnesha
  • Nnesha
yep!
anonymous
  • anonymous
Awesome! Thank you so much!
Nnesha
  • Nnesha
got it ? what's the final answer ?
anonymous
  • anonymous
8x+9?
Nnesha
  • Nnesha
who kidnapped 4 ?? what happened to -7?
anonymous
  • anonymous
I'm sorry. I meant 8x+4h-7.
Nnesha
  • Nnesha
yes right! it's okay great job!!
anonymous
  • anonymous
Good Job :D
Nnesha
  • Nnesha
i wish u all the best! i hope you do well n calculus class :=)
anonymous
  • anonymous
Thank you, both of you! :D
Nnesha
  • Nnesha
my pleasure :=)

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