Questions: Following the steps from the question in this video what is f(x+h) for the function f(x)=x^2-x-3 x^2+h^2-x+h-3 x^2+2xh+h^2-x-h-3 x^2+2xh+h^2-x+h-3 None of the above

Following the steps from the question in this video what is f(x+h) for the function f(x)=x^2-x-3 x^2+h^2-x+h-3 x^2+2xh+h^2-x-h-3 x^2+2xh+h^2-x+h-3 None of the above
Transcript text: Following the steps from the question in this video what is $f(x+h)$ for the function $f(x)=x^{2}-x-3$ $x^{2}+h^{2}-x+h-3$ $x^{2}+2 x h+h^{2}-x-h-3$ $x^{2}+2 x h+h^{2}-x+h-3$ None of the above SUBMIT
failed

Solution

failed
failed

Solution Steps

To find \( f(x+h) \) for the function \( f(x) = x^2 - x - 3 \), we need to substitute \( x+h \) into the function in place of \( x \).

Step 1: Define the Function \( f(x) \)

The given function is: \[ f(x) = x^2 - x - 3 \]

Step 2: Substitute \( x + h \) into the Function

To find \( f(x + h) \), substitute \( x + h \) into the function: \[ f(x + h) = (x + h)^2 - (x + h) - 3 \]

Step 3: Expand the Expression

Expand the expression: \[ f(x + h) = (x + h)^2 - (x + h) - 3 \] \[ = x^2 + 2xh + h^2 - x - h - 3 \]

Step 4: Simplify the Expression

Combine like terms: \[ f(x + h) = x^2 + 2xh + h^2 - x - h - 3 \]

Final Answer

\(\boxed{f(x + h) = x^2 + 2xh + h^2 - x - h - 3}\)

Was this solution helpful?
failed
Unhelpful
failed
Helpful

Questions asked by other users

failedAnswered
curve? Try this for one amino acid of your preference. If you were given the abbreviations for 4-6 amino acids, could you draw the polypeptide chain AND determine its isoelectric point? Do this for the amino ac Asp-Arg-Val-Tyr-Ile
failedAnswered
Match each of the following expressions to an equivalent expression shown in the bins below. Consider each of the expressions to be as you would type them into a typical calculator. For example, if you type x(y / z) into your calculator, this would be equivalent to x times y/z.
failedAnswered
Which of the following is/are signified by lim x → a f(x) = ∞ ? This means that f(a) = ∞ The value of x goes out to infinity, when it gets close to a. As x approaches a, the value of f(x) increases without bound. The limit exists and equals infinity. The value of fl(x) becomes infinite when x approaches a.
failedAnswered
How did the discovery of Nazi concentration camps impact Allied determination? It decreased urgency in the war effort. It led to internal divisions among Allied forces. It sparked renewed efforts for peace talks. It intensified resolve to swiftly end the war.
failedAnswered
El talento deportivo incrementa las probabilidades de éxito, pero: a. Es dificil de identificar b. No es garantía c. Es garantía d. Es tardado de identificar