If $f(x)=4 x^{2}+2$ , Find and Simplify $\frac{f(1+h)-f(1)}{h}$ , Where $h \neq 0$

question 15

Multiple Choice

If $f(x) =4 x^{2}+2$ , find and simplify $\frac{f(1+h) -f(1) }{h}$ , where $h \neq 0$ .

• A) \(2+4 h^{2}\)
• B) \(4+8 h\)
• C) \(4 h\)
• D) \(8+4 h\)

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Definitions:

Like Terms

Algebraic terms that have the same variable parts and powers.

Collect

Refers to gathering or bringing things together from multiple sources.

Like Terms

Terms in an algebraic expression that have the same variables raised to the same power, which can be combined or simplified.

Operation Indicated

The process of performing the mathematical operation (such as addition, subtraction, multiplication, or division) as specified by the given problem.