Observer the following listsList $$-$$ IFunctionsI. $$f(x)=$$$$sin$$−$$1log2xII$$. $$g(x)=$$$$cos$$(sinx)III$$. $$h(x)=$$$$sin$$−$$11+x22xIV$$. $$f(x) $$=$$ $$g(x)$$ $$+$$ $$h(x)List$$ $$-$$ $$IIDomaina)$$ $${-1$$, $$1}b)$$ $${1}c)$$ $${-1}d)$$ [$$1$$, $$2$$]$$e)$$ RThe correct matching of List I to List II is

Question

Observer the following listsList $$-$$ IFunctionsI. $$f(x)=$$$$sin$$−$$1log2xII$$. $$g(x)=$$$$cos$$(sinx)III$$. $$h(x)=$$$$sin$$−$$11+x22xIV$$. $$f(x) $$=$$ $$g(x)$$ $$+$$ $$h(x)List$$ $$-$$ $$IIDomaina)$$ $${-1$$, $$1}b)$$ $${1}c)$$ $${-1}d)$$ [$$1$$, $$2$$]$$e)$$ RThe correct matching of List I to List II is

Infinity Learn · Accepted Answer

$$f(x)$$ is defined for $$f(x)$$ has to be define and $$f(x)$$≥$$00$$≤$$log2x$$≤$$1$$⇒$$1$$≤x≤$$2cos($$$$sin$$ $$x)define$$ for $$R-1$$≤$$1+x22x$$≤$$1$$⇒$$x=-1$$,$$1$$

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Observer the following listsList - IFunctionsI. f(x)=sin−1log2xII. g(x)=cos(sinx)III. h(x)=sin−11+x22xIV. f(x) = g(x) + h(x)List - IIDomaina) {-1, 1}b) {1}c) {-1}d) [1, 2]e) RThe correct matching of List I to List II is

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