1- If f and g are the two functions over real numbers defined as f-x-3x-1- g-x-x2-2- then find -ii- f-g -ii- f-g -iii- f x g -iv- f-g

Given #160;fx=3x+1 #160;and #160;gx=x2+2So #160;f+g=3x+1+ #160;x2+2=x2+3x+3and #160;f g=3x+1 #160;x2 2=3x #160;x2 1 #160;and #160;f #215 ...

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Change of Variables

1. If f and g...

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1. If f and g are the two functions over real numbers defined as f(x)=3x+1, g(x)=x²+2, then find
(ii) f+g (ii) f-g (iii) f x g (iv) f/g

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If f and g are two functions over real numbers defined as f(x) = 3x + 1, g(x) = x² + 2, then find f-g

f (x) = \sqrt{x + 1}

g (x) = \sqrt{9 - x^{2}}

\frac{f}{g}

\frac{g}{f}

2 f - \sqrt{5} g

\frac{5}{8}

Let $f (x) = \sqrt{x}$ and $g (x) = x$ be two functions defined over the set of non-negative real numbers. Find:

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

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

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

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

f

g

f (x) = 2 x - 1

g (x) = x^{2}

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) $\frac{5}{8}$

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