If the function f: RrarrR given by f(x) ...

If the function `f: RrarrR` given by `f(x) =x^(2) +3x +1 and g : R rarr R` he given by `g(x) = 2x -3 ` find
fog

Text Solution

Verified by Experts

The correct Answer is:

`4x^2-6x+1`

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If the function f: RrarrR given by f(x) =x^(2) +3x +1 and g : R rarr R he given by g(x) = 2x -3 find gof

If the function f : R rarr R given by f(x) = x^2 +2 and g RrarrR be given by g(x) =x/(x-1) find fog

Knowledge Check

Function f : R rarr R f(x) = 3 x -5 is

A

One - one only

B

Onto only

C

One -one and onto

D

None of these

Let f: RrarrR be defined f(x) = sin x and g: RrarrR be defined by g(x) = x^2 , Find fog .

A

`x^2 sin x`

B

`(sinx)^2`

C

`sinx^2`

D

`(sinx)/x^2`

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If the function f : R rarr R given by f(x) = x^2 +2 and g RrarrR be given by g(x) =x/(x-1) find gof

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Check whether the function f: R rarr R given by f(x) = x^2 , is 1 - 1 and onto or not.

Show that the function f : R rarr R given by f(x) =x^2 is injective.

Let f : R rarr R be defined by f(x) = 3x - 2 ad g : R rarr R be defined by g(x) = (x+2)/(3) . Shwo that fog = I_R = gof

If f : R rarr R is defined by f(x) = x^2 – 3x + 2 , find f (f (x)) .

BETTER CHOICE PUBLICATION-RELATIONS AND FUNCTIONS -ASSIGNMENT (MOST IMPORTANT QUESTIONS FOR PRACTICE) (SECTION IV)

If the function f: RrarrR given by f(x) =x^(2) +3x +1 and g : R rarr R...
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If the function f: RrarrR given by f(x) =x^(2) +3x +1 and g : R rarr R...
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If the function f : R rarr R given by f(x) = x^2 +2 and g RrarrR be g...
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Let f(x) = 2x^2 and g (x) = 3x - 4 , x in R . Find fog
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Let f(x) = 2x^2 and g (x) = 3x - 4 , x in R . Find gog
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Let f(x) = 2x^2 and g (x) = 3x - 4 , x in R . Find fog
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Let f(x) = 2x^2 and g (x) = 3x - 4 , x in R . Find gof
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If f(x) = x + 7 and g(x) = x - 7 , x in R find (fog) (7).
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Let f(x) = [x] and g(x) = |x| find (fog)(-3/2) +(gof) (4/3)
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Let f(x) = [x] and g(x) = |x| find (gof)(5/4) -(fog) ((-5)/4)
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Let f(x) = [x] and g(x) = |x| find (fog)(5/2) -(gof) ((-5)/2)
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Let f(x) = [x] and g(x) = |x| find (gof)((-5)/3) -(fog) ((-5)/3)
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If f: RrarrR is defined by f(x) = 3x +2, find f(f(x))
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If f:R rarr R is defined by f(x) = x^2 – 3x + 2, find f(f(x))
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