nick850
- 14
- 0
Homework Statement
if f(x) = 10-x²
f(x + h) = ?
Homework Equations
not applicable
The Attempt at a Solution
no clue
What is f(x + h) if f(x) = 10-x²?
- Thread starter nick850
- Start date
Join the discussion
Registration is free. Start your own thread to ask a follow-up.
3 replies · 3K views
if f(x) = 10-x²
f(x + h) = ?
not applicable
no clue
Discussion
jegues
- 1,085
- 3
Simply plug,
[tex](x+h)[/tex]
Into all the terms that contain an [tex]x[/tex].
[tex](x+h)[/tex]
Into all the terms that contain an [tex]x[/tex].
nick850
- 14
- 0
thank you!
Homework Helper
- 3,802
- 95
Yep it's as simple as that!
[tex]f(x)=10-x^2[/tex]
[tex]f(x+h)=10-(x+h)^2[/tex]
[tex]f(a)=10-a^2[/tex]
[tex]f(2)=10-2^2=6[/tex]
[tex]f(\sqrt{10})=10-(\sqrt{10})^2=0[/tex]
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 [itex]\sqrt{10}[/itex].
[tex]f(x)=10-x^2[/tex]
[tex]f(x+h)=10-(x+h)^2[/tex]
[tex]f(a)=10-a^2[/tex]
[tex]f(2)=10-2^2=6[/tex]
[tex]f(\sqrt{10})=10-(\sqrt{10})^2=0[/tex]
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 [itex]\sqrt{10}[/itex].