- #1
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
Click For Summary
Homework Help Overview
The problem involves evaluating the function f(x) = 10 - x² at the point x + h, specifically determining f(x + h).
Discussion Character
- Exploratory, Mathematical reasoning
Approaches and Questions Raised
- Participants discuss substituting (x + h) into the function and explore the implications of this substitution. Some express uncertainty about the process, while others provide examples of evaluating the function at specific points.
Discussion Status
There is a mix of attempts to clarify the substitution process and examples provided by participants. While some guidance has been offered, there is no explicit consensus on the approach or resolution of the problem.
Contextual Notes
Some participants express confusion about the initial steps, indicating a potential lack of clarity in the problem setup or assumptions regarding function evaluation.
if f(x) = 10-x²
f(x + h) = ?
not applicable
no clue
- #2
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].
- #3
nick850
- 14
- 0
thank you!
- #4
Mentallic
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].