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f-3x-1-g-1-5x-2-2-g-o-f-4-




Question Number 151758 by mathdanisur last updated on 22/Aug/21
f(3x+1)=g^(−1) (5x^2 −2)  (g o f)^′  (4) = ?
f(3x+1)=g1(5x22)(gof)(4)=?
Commented by otchereabdullai@gmail.com last updated on 23/Aug/21
nice!
nice!
Answered by Olaf_Thorendsen last updated on 22/Aug/21
f(3x+1) = g^(−1) (5x^2 −2)  gof(3x+1) = gog^(−1) (5x^2 −2) = 5x^2 −2  3(gof)′(3x+1) = 10x  (gof)′(3x+1) = ((10)/3)x  (gof)′(3×1+1) = (gof)′(4) = ((10)/3)×1 = ((10)/3)
f(3x+1)=g1(5x22)gof(3x+1)=gog1(5x22)=5x223(gof)(3x+1)=10x(gof)(3x+1)=103x(gof)(3×1+1)=(gof)(4)=103×1=103
Commented by mathdanisur last updated on 23/Aug/21
Thank you Ser
ThankyouSer
Answered by mindispower last updated on 22/Aug/21
gof(3x+1)=5x^2 −2  (d/dx)gof(3x+1)=10x⇒3g′of(3x+1)=10x  x=1⇒(gof)′(4)=((10)/3)
gof(3x+1)=5x22ddxgof(3x+1)=10x3gof(3x+1)=10xx=1(gof)(4)=103
Commented by mathdanisur last updated on 23/Aug/21
Thank you Ser
ThankyouSer

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