How to find You can't use 'macro parameter character #' in math modeYou can't use 'macro parameter character #' in math mode and f(x)=x2+3x?

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How to find You can&#039;t use &#039;macro parameter character #&#039; in math modeYou can&#039;t use &#039;macro parameter character #&#039; in math mode and f(x)=x2+3x?

wolfnightswimfdi · Accepted Answer

Finding a expression for is the first step (g ￮ f ), which can also be written as g(f(x)).
To do this substitute x = f(x) into g(x)

\Rightarrow g (f (x)) = g (x^{2} + 3 x) = 2 (x^{2} + 3 x) - 2

\Rightarrow g (f (x)) = 2 x^{2} + 6 x - 2

To evaluate (g ￮ f)(-2 +x) substitute x = - 2 +x into g(f(x))

\Rightarrow (g (f (- 2 + x)) = 2 {(- 2 + x)}^{2} + 6 (- 2 + x) - 2

= 2 (4 - 4 x + x^{2}) - 12 + 6 x - 2

= 8 - 8 x + 2 x^{2} - 12 + 6 x - 2 = 2 x^{2} - 2 x - 6

How to find (g@f)(-2+x) given g(x)=2x-2 and f(x)=x^2+3x?

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