SOLUTION: if f(x)=(2-xsquare) how to solve : f(x+h)-f(x)

Question 94843: if f(x)=(2-xsquare)
how to solve :
f(x+h)-f(x)
Answer by bucky(2189) (Show Source): You can put this solution on YOUR website!
Given:
.
<=== call this equation 1
.
Next you need to find . What this means is you return to and
you replace every x in that equation with . When you do that replacement you get:
.
<=== call this equation 2
.
To simplify this you need to square the on the right side. Do this by multiplying:
.

.
Substitute into equation 2 in place of and equation 2 becomes:
.
<=== call this equation 3
.
The problem asked you to find . From equation 3 we know that:
.

.
and from equation 1 we know:
.

.
So we substitute the right side of these two equations into in place
of and to get:
.

.
On the right side, since the set of parentheses are preceded by a minus sign, the parentheses
can be removed if we change the signs of the two terms in the parentheses. This makes the
equation become:
.

.
Now on the right side you can notice that the +2 and the -2 cancel each other as does the
and the . Those terms, therefore, disappear and you are left with:
.

.
Hope this helps you to understand the problem a little more.
.

RELATED QUESTIONS
How to solve f(x)=4x f(x+h)-f(x)/h cannot =... (answered by tvandenberg)

Give the domain of the function, f(x)= xsquare-5x-24 over... (answered by oscargut)

Evaluate [f(x+h)-f(x)]/h and simplify if... (answered by jim_thompson5910)

If f(x) = x(x+2), find (f(x+h)-f(x-h))/2h (answered by MathLover1)

If f(x)=x^2-5, find and simplify... (answered by ewatrrr)

Evaluate [f(x+h)-f(x)]/h and simplify if f(x)=2x^2 + x +... (answered by Boreal,Fombitz,rothauserc)

if f(x)=x^2, then... (answered by richard1234)

If f(x) = 3x^2-5, find... (answered by Tatiana_Stebko)

If f(x)= 2x^2 -3, find [f(x+h)-f(x)]/h (answered by stanbon)