Question

Given $f(x)=x^{2}-5 x+6,$ find each value. $$ f(a+1) $$

   Given $f(x)=x^{2}-5 x+6,$ find each value.
$$
f(a+1)
$$

Algebra 2

Holliday, Luchin,… 1st Edition

Chapter 6, Problem 56

Instant Answer

Solved by Expert Manuel Andrade-Panek

05/12/2020

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Step 1: We are given the function $f(x)=x^{2}-5x+6$ and we are asked to find the value of $f(a+1)$. Show more…

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Given $f(x)=x^{2}-5 x+6,$ find each value. $$ f(a+1) $$

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Key Concepts

Algebraic Manipulation

After substitution, algebraic manipulation involves expanding expressions, combining like terms, and simplifying the result into a standard or simpler form. This process is essential in ensuring that the final expression is both useful and fully simplified.

Function Evaluation

This concept involves determining the output or value of a function when a specific input is provided. It is a core aspect of understanding how functions work, where any valid expression can serve as the input for the function, and the function’s rule is applied to produce the output.

Substitution

Substitution refers to the process of replacing the variable in an expression with another expression or a value. This is vital for evaluating functions at shifted or modified inputs, enabling one to express the function’s behavior under transformation.

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