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Given f(x) = √3x, find f(x+h)-f(x) (a) h

Given f(x) = √3x, find f(x+h)-f(x) (a) h

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Please show steps to both parts. I am pretty sure I have set up correctly, but want to check my work. 

3. Given f(x) = √3x, find f(x+h)-f(x) (a) h (b) f(z)-f(x) Z-X
Transcribed Image Text:3. Given f(x) = √3x, find f(x+h)-f(x) (a) h (b) f(z)-f(x) Z-X
13x43h (33+(343(3-13 (3+35-43x – By h|3x+36 ++_3_ (b) 3. Given f(x) = √3x, find (a) f(x+h) -f(x) [3&+) (x) (3x+3ਗ -( x) 3x+sh + 3x ● h h 13x+3h +- (Foil top) 31 { 3x+3h +13% f(z) – f(1) 1 Z-X = 3 √3x+3h+√3x 2- (Mult 38-315377 3-- 3 1 22 - 13 - 3 . (2-×) - 32 + + 3x LH. by 3z - Sx (z~x) 3z + 3x (conjugate) (32 ) ( 3 ) 191 ( x) 32 +13% 3x+3h← 3x1 +3x + h +1_3% Tz + - x ੧੦ ਜਤ 32
Transcribed Image Text:13x43h (33+(343(3-13 (3+35-43x – By h|3x+36 ++_3_ (b) 3. Given f(x) = √3x, find (a) f(x+h) -f(x) [3&+) (x) (3x+3ਗ -( x) 3x+sh + 3x ● h h 13x+3h +- (Foil top) 31 { 3x+3h +13% f(z) – f(1) 1 Z-X = 3 √3x+3h+√3x 2- (Mult 38-315377 3-- 3 1 22 - 13 - 3 . (2-×) - 32 + + 3x LH. by 3z - Sx (z~x) 3z + 3x (conjugate) (32 ) ( 3 ) 191 ( x) 32 +13% 3x+3h← 3x1 +3x + h +1_3% Tz + - x ੧੦ ਜਤ 32
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