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Which of the following are the appropriate LaTeX: f\left(x\right)f ( x ) and LaTeX: g\left(x\right)g ( x ), for LaTeX: H\left(x\right)=\cos\left(2x^2-1\right)H ( x ) = cos ⁡ ( 2 x 2 − 1 ) for LaTeX: H\left(x\right)=\left(f\:\circ\:g\right)\left(x\right)H ( x ) = ( f ∘ g ) ( x )? Group of answer choices

Respuesta :

Answer:

[tex]f\left(x\right)=\cos\left(x\right)\: and\:\: g\left(x\right)=\left(2x^2-1\right)[/tex]

Step-by-step explanation:

We have, [tex]H\left(x\right)=\cos\left(2x^2-1\right)H ( x )[/tex]

                          [tex]=\cos\left(2x^2-1\right)[/tex]

And   [tex]H\left(x\right)=\left(f\:\circ\:g\right)\left(x\right)H ( x ) = \left(f\:\circ\:g\right)( x )[/tex]

        [tex]\Rightarrow \left(f\:\circ\:g\right)(x)=\cos\left(2x^2-1\right)[/tex]

Now, [tex]f\left(x\right)=\cos\left(x\right)[/tex]   and [tex]g\left(x\right)=\left(2x^2-1\right)[/tex]

     

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