Five marks exercise problems VI — task. Mathematics State Board, Class 10.

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1. If

$f(x) = 2x - 1$ ,

$g(x) =$

$\frac{x + 1}{2}$ , show that

$f \circ g = g \circ f = x$ .

2. Consider the function

$f(x)$ ,

$g(x)$ ,

$h(x)$ as given below. Show that

$(f \circ g) \circ h = f \circ (g \circ h)$ in the below case.

$f(x) = x - 1$ ,

$g(x) = 3x + 1$ and

$h(x) = x^2$

Important!

This is a self-assessment task. Solve this question and assess the solution steps after the completion of the test on your own.

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21. Five marks exercise problems VI