Need solve f(x)=x^2+2x+10

Krish Schmitt

Krish Schmitt

Answered question

2022-10-02

Given is
x = 3 h = 2 f ( x ) = x 2 + 2 x + 10
what is the solution of f ( x + h )
Is that correct?
f ( x ) = x 2 + 2 x + 10 = ( 9 + 4 ) + 2 ( 3 + 2 ) + 10 = 13 + 10 + 10 = 33

Answer & Explanation

pereishen9g

pereishen9g

Beginner2022-10-03Added 7 answers

In the formula
f ( x ) = x 2 + 2 x + 10
think of the "x" as a box you get to fill in, that is,
f ( ) = ( ) 2 + 2 ( ) + 10
So you can put an x, or x+h, or anything you want, into the box. In particular, putting x+h into the box gives you
f ( x + h ) = ( x + h ) 2 + 2 ( x + h ) + 10
Now since x=3 and h=2, you know x + h = 3 + 2 = 5
Riya Andrews

Riya Andrews

Beginner2022-10-04Added 4 answers

Your basic idea is correct, but you are asked for f ( x + h ) so that is what you should have on the left side, not f ( x ). Then it might help to write out the function in terms of the variables first. The first term in the expression is not correct.

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