Question

Solve F(x) for the given domain. Include all of your work in your final answer. Submit your solution.

Answer 1

Hello : 
F(x) = x 2 + 2 the domain is : R
F(x - h) = (x - h )² +2 = x² - 2xh +h² +2

Answer 2

Answer:

As per the given statement:

$F(x) = x^2+2$     for all x belongs to R              ......[1]

Then, find $F(x-h)$;

Substitute x-h in place of x in [1] we get;

$F(x-h) = (x-h)^2+2$

Using identity rule:

$(a-b)^2 = a^2 +b^2 -2ab$

Apply this rule we have;

$F(x-h) = x^2+h^2-2xh+2$

Therefore, final answer is, $F(x-h) = x^2+h^2-2xh+2$