##### ​Find f(a), f(a + h), and the difference quotient f(a + h) − f(a

label Algebra
account_circle Unassigned
schedule 1 Day
account_balance_wallet \$5

Find f(a), f(a + h), and the difference quotient f(a + h) − f(a)h

, where h ≠ 0.

f(x) = 3 − 2x + 4x2

f(a) =

f(a + h) =

????HELP   f(a + h) − f(a)/h =

Feb 7th, 2015

f(x) = 3 − 2x + 4x^2

f(a+h) = 3 - 2(a+h) + 4(a+h)^2 = 3 - 2a -2h +4a^2+8ah+4h^2
f(a) = 3 - 2a + 4a^2

[f(a+h) - f(a)]/h = [3 - 2a -2h +4a^2+8ah+4h^2 - (3 - 2a + 4a^2)]/h
=[3 - 2a -2h +4a^2+8ah+4h^2 - 3 + 2a - 4a^2)]/h
= [-2h + 8ah + 4h^2]/h
= 4h + 8a -2

Feb 7th, 2015

...
Feb 7th, 2015
...
Feb 7th, 2015
Oct 23rd, 2017
check_circle
{"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0}