Let fx-x2 and gx-2 x-1 be two real functions- Find f-g-f-gx-fx and f-8x

(f+g):R → [0, ∞) defined by (f+g)(x) = x^2+2x+1=(x+1)^2 (f g):R → R defined by (f g)(x) = x^2 2x 1 (fg):R → R defined by (fg)(x) = 2x^3+x^2 ( f/g ):R → R define ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard XII

Mathematics

General Tips for Choosing Function

Let fx=x2 and...

Question

Let $f (x) = x^{2}$ and $g (x) = 2 x + 1$ be two real functions. Find (f + g), (f - g) (x), (fg) (x) and $(\frac{f}{g}) (x)$

Open in App

Solution

$(f + g) : R \to [0, \infty)$ defined by $(f + g) (x) = x^{2} + 2 x + 1 = (x + 1)^{2}$
$(f - g) : R \to R$ defined by $(f - g) (x) = x^{2} - 2 x - 1$
$(f g) : R \to R$ defined by $(f g) (x) = 2 x^{3} + x^{2}$
$(\frac{f}{g}) : R \to R$ defined by $(\frac{f}{g}) (x) = \frac{x^{2}}{2 x + 1}$

Suggest Corrections

Similar questions

Q. Let

f (x) = x^{2}

and

g (x) = 2 x + 1

be two real functions. Find

(f + g) (x), (f - g) (x), (f g) (x), (\frac{f}{g}) (x) .

If $f (x) = x^{2}$ and $g (x) = 2 x + 1$ are two real function. Find $f + g (x)$

Q. If

f (x) = x^{2}

and

g (x) = 2 x - 6

, find the following functions:

(f + g) (x), (f \times g) (x), (f \circ g) (x), (f \circ f) (x), g^{- 1} (x)

Q. If

f (x) = x^{2}

and

g (x) = 2 x + 1

be two real valued function. Find

(f g) (x)

and

(\frac{f}{g}) (x) .

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

Join BYJU'S Learning Program

Let f(x)=x2 and g(x)=2x+1 be two real functions. Find (f + g), (f - g) (x), (fg) (x) and (fg)(x)

(f+g):R→[0,∞) defined by (f+g)(x)=x2+2x+1=(x+1)2 (f−g):R→R defined by (f−g)(x)=x2−2x−1 (fg):R→R defined by (fg)(x)=2x3+x2 (fg):R→R defined by (fg)(x)=x22x+1

Let $f (x) = x^{2}$ and $g (x) = 2 x + 1$ be two real functions. Find (f + g), (f - g) (x), (fg) (x) and $(\frac{f}{g}) (x)$

$(f + g) : R \to [0, \infty)$ defined by $(f + g) (x) = x^{2} + 2 x + 1 = (x + 1)^{2}$
$(f - g) : R \to R$ defined by $(f - g) (x) = x^{2} - 2 x - 1$
$(f g) : R \to R$ defined by $(f g) (x) = 2 x^{3} + x^{2}$
$(\frac{f}{g}) : R \to R$ defined by $(\frac{f}{g}) (x) = \frac{x^{2}}{2 x + 1}$