||!!!""।।3. go/ तथा 10g ज्ञात कीजिए, य

1.	\|\|!!!""।।3. go/ तथा 10g ज्ञात कीजिए, यदि(1) f(४) = \|\| तथा g() = \| 53-2।।(i) (४) = 8 तथा gr) = 3
Answer» (1)GIVEN,f(x)=\|x\|g(x)=\|5x-2\| gof(x)= g(f(x))gof(x)=g(\|x\|)gof(x)=\|5\|x\|-2\| fog(x)=f(g(x))fog(x)=f(5\|x\|-2)fog(x)=\|5\|x\|-2\|. (2)GIVEN f(x)=8x^3g(x)=x^1/3 gof(x)=g(f(x))gof(x)=g(8x^3)gof(x)=(8x^3)^1/3gof(x)=(2^3×x^3)^1/3gof(x)=2x fog(x)=f(g(x))fog(x)=f(x^1/3)fog(x)=8(x^1/3)^3fog(x)=8x

||!!!""।।3. go/ तथा 10g ज्ञात कीजिए, यदि(1) f(४) = || तथा g() = | 53-2।।(i) (४) = 8 तथा gr) = 3

Answer»

(1)GIVEN,f(x)=|x|g(x)=|5x-2|

gof(x)= g(f(x))gof(x)=g(|x|)gof(x)=|5|x|-2|

fog(x)=f(g(x))fog(x)=f(5|x|-2)fog(x)=|5|x|-2|.

(2)GIVEN f(x)=8x^3g(x)=x^1/3

gof(x)=g(f(x))gof(x)=g(8x^3)gof(x)=(8x^3)^1/3gof(x)=(2^3×x^3)^1/3gof(x)=2x

fog(x)=f(g(x))fog(x)=f(x^1/3)fog(x)=8(x^1/3)^3fog(x)=8x