Find f(2) and f(a + h) when f(x) = 3x2 + 2x + 4.

asked Sep 12, 2023 30.9k views

8 votes

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Explanation:

$f(x) = 3 {x}^(2) + 2x + 4$

$\:$

$f(2) = 3. {2}^(2) + 2.2 + 4$

f(2) = 3.4 + 4 + 4

f(2) = 12 + 8

$f(2) = 20 \\$

$\:$

$f(a + h) = 3 {(a + h)}^(2) + 2.(a + h) + 4$

$f(a + h) = 3( {a}^(2) + 2ah + {h}^(2) ) + 2a + 2h$

$f(a + h) = 3 {a}^(2) + 6ah + 3 {h}^(2) + 2a + 2h + 4$

$f(a + h) = 3 {a}^(2) + 3 {h}^(2) + 6ah + 2a + 2h + 4$

Spoekes answered Sep 18, 2023

3.4k points

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