If f:N→N, g:N→N and h:N→R is defined f(x)=3x-5, g(y)=6y^2 and h(z)=tan⁡z, find ho(gof).(a) tan⁡(6(3x-5))(b) tan⁡(6(3x-5)^2)(c) tan⁡(3x-5)(d) 6 tan⁡(3x-5)^2I had been asked this question by my school teacher while I was bunking the class.The query is from Composition of Functions and Invertible Function in division Relations and Functions of Mathematics – Class 12

If f:N→N, g:N→N and h:N→R is defined f(x)=3x-5, g(y)=6y^2 and h(

1.	If f:N→N, g:N→N and h:N→R is defined f(x)=3x-5, g(y)=6y^2 and h(z)=tan⁡z, find ho(gof).(a) tan⁡(6(3x-5))(b) tan⁡(6(3x-5)^2)(c) tan⁡(3x-5)(d) 6 tan⁡(3x-5)^2I had been asked this question by my school teacher while I was bunking the class.The query is from Composition of Functions and Invertible Function in division Relations and Functions of Mathematics – Class 12
Answer» The CORRECT answer is (b) tan⁡(6(3x-5)^2) The best I can explain: Given that, F(x)=3x-5, g(y)=6y^2 and h(z)=tan⁡z, Then, ho(GOF)=hο(g(f(x))=h(6(3x-5)^2)=tan⁡(6(3x-5)^2) ∴ ho(gof)=tan⁡(6(3x-5)^2)

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