**(a) Consider f : R → R, f(x) = x 2 and g : R → R, g(x) = x + 5. (i) What is g ◦ f? (ii) What is f ◦ g**

The **Answer to the Question**

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**Here's the Solution to this Question**

$\circ$ (circle sign) denotes here a function composition.

(i) $g \circ f = g(f(x)) = g(x^2) = x^2 +5$

(ii)$f \circ g = f(g(x)) = f(x+5) = (x+5)^2 = x^2 + 10x+25$