Let f x - x 2 and g x -3 x -4 - Find the value of f - g x - f - g x when x -1B- -4-33- D- 34-4

The correct option is B nbsp; 43 nbsp; (f+g)(x)=f(x)+g(x)=x^2+3x+4 (f g)(x)=f(x) g(x)=x^2 3x 4 ⇒(f+x)(x)(f g)(x)=x^2+3x+4x^2 3x 4 To find (f+g)(x)/(f g)(x) ...

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Byju's Answer

Standard IX

Mathematics

Rational Function

Let f x = x 2...

Question

Let $f (x) = x^{2}$ and $g (x) = 3 x + 4$ . Find the value of $\frac{(f + g) (x)}{(f - g) (x)}$ when $x = 1$

$\frac{4}{3}$

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$\frac{3}{4}$

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$\frac{- 4}{3}$

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$\frac{- 3}{4}$

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Solution

The correct option is C
$\frac{- 4}{3}$

$(f + g) (x) = f (x) + g (x) = x^{2} + 3 x + 4 (f - g) (x) = f (x) - g (x) = x^{2} - 3 x - 4 \Rightarrow \frac{(f + x) (x)}{(f - g) (x)} = \frac{x^{2} + 3 x + 4}{x^{2} - 3 x - 4} To find \frac{(f + g) (x)}{(f - g) (x)} at x = 1, put x = 1 \Rightarrow \frac{1 + 3 + 4}{1 - 3 - 4} = \frac{8}{- 6} = \frac{- 4}{3}$

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Let f(x)=x2 and g(x)=3x+4. Find the value of (f+g)(x)(f−g)(x) when x=1

The correct option is C −43 (f+g)(x)=f(x)+g(x)=x2+3x+4(f−g)(x)=f(x)−g(x)=x2−3x−4⇒(f+x)(x)(f−g)(x)=x2+3x+4x2−3x−4To find (f+g)(x)(f−g)(x)at x=1,put x=1⇒1+3+41−3−4=8−6=−43

Let $f (x) = x^{2}$ and $g (x) = 3 x + 4$ . Find the value of $\frac{(f + g) (x)}{(f - g) (x)}$ when $x = 1$