Let f and g be real functions, defined by f(x)=√x+2 and g(x)=√4−

1.	Let f and g be real functions, defined by f(x)=√x+2 and g(x)=√4−x2. Find (i) (f+g)(x) (ii) (f−g)(x) (iii) (fg)(x) (iv) (ff)(x) (v) (gg)(x) (vi) (fg)(x)
Answer» Let f and g be real functions, defined by $f (x) = \sqrt{x + 2}$ and $g (x) = \sqrt{4 - x^{2}}$ . Find (i) $(f + g) (x)$ (ii) $(f - g) (x)$ (iii) $(f g) (x)$ (iv) $(f f) (x)$ (v) $(g g) (x)$ (vi) $(\frac{f}{g}) (x)$

Let f and g be real functions, defined by f(x)=√x+2 and g(x)=√4−x2. Find (i) (f+g)(x) (ii) (f−g)(x) (iii) (fg)(x) (iv) (ff)(x) (v) (gg)(x) (vi) (fg)(x)

Answer»

Let f and g be real functions, defined by $f (x) = \sqrt{x + 2}$ and $g (x) = \sqrt{4 - x^{2}}$ . Find

(i) $(f + g) (x)$

(ii) $(f - g) (x)$

(iii) $(f g) (x)$

(iv) $(f f) (x)$

(v) $(g g) (x)$

(vi) $(\frac{f}{g}) (x)$