Let f, g be two real functions defined by f(x)=√x+1 and g(x)=√9−

1.	Let f, g be two real functions defined by f(x)=√x+1 and g(x)=√9−x2. Then, describe each of the following functions: (i) f+g (ii) g−f (iii) fg (iv) fg (v) gf (vi) 2f−√5g (vii) f2+7f (viii) 58
Answer» Let f, g be two real functions defined by $f (x) = \sqrt{x + 1}$ and $g (x) = \sqrt{9 - x^{2}}$ . Then, describe each of the following functions: (i) $f + g$ (ii) $g - f$ (iii) $f g$ (iv) $\frac{f}{g}$ (v) $\frac{g}{f}$ (vi) $2 f - \sqrt{5} g$ (vii) $f^{2} + 7 f$ (viii) $\frac{5}{8}$

Let f, g be two real functions defined by f(x)=√x+1 and g(x)=√9−x2. Then, describe each of the following functions: (i) f+g (ii) g−f (iii) fg (iv) fg (v) gf (vi) 2f−√5g (vii) f2+7f (viii) 58

Answer»

Let f, g be two real functions defined by $f (x) = \sqrt{x + 1}$ and $g (x) = \sqrt{9 - x^{2}}$ . Then, describe each of the following functions:

(i) $f + g$
(ii) $g - f$
(iii) $f g$
(iv) $\frac{f}{g}$
(v) $\frac{g}{f}$
(vi) $2 f - \sqrt{5} g$
(vii) $f^{2} + 7 f$
(viii) $\frac{5}{8}$