# If f(x) = 10-x² f(x + h) = ?

1. Jul 25, 2010

### nick850

1. The problem statement, all variables and given/known data

if f(x) = 10-x²
f(x + h) = ?

2. Relevant equations

not applicable

3. The attempt at a solution

no clue
1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution

2. Jul 25, 2010

### jegues

Simply plug,

$$(x+h)$$

Into all the terms that contain an $$x$$.

3. Jul 25, 2010

### nick850

thank you!

4. Jul 26, 2010

### Mentallic

Yep it's as simple as that!

$$f(x)=10-x^2$$

$$f(x+h)=10-(x+h)^2$$

$$f(a)=10-a^2$$

$$f(2)=10-2^2=6$$

$$f(\sqrt{10})=10-(\sqrt{10})^2=0$$

I think you get the point

Oh and if you choose some number a such that f(a)=0, this means that a is a root of the equation y=f(x). Such as that last example with the $\sqrt{10}$.