Question

if f(x)=sin^2x and g(x)= 2x, then g[f(x)] is equal to?

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Answer 1

Answer:

4

Step-by-step explanation:

if f(x)=sin^2x and g(x)= 2x, then g[f(x)] is equal to?

Answer 2

Answer:f(x)=sin  

2

x and g(f(x))=∣sinx∣.

A: Take g(x)=  

x−1

​

 

⇒  g(f(x))=g[f(x)]

                    =g(sin  

2

x)

                    =  

sin  

2

x−1

​

 

We can see, g(x)=  

x−1

​

 is not possible.

B: Take g(x)=  

x

​

 

⇒  g(f(x))=g[f(x)]

                    =g(sin  

2

x)

                    =  

sin  

2

x

​

 

                    =±sinx

                    =∣sinx∣

∴  Here, we can see g(x)=  

x

​

.

Step-by-step explanation: