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F(X)= -6X-1 and g(x)=4x^2. select the solution for (fg)(x)

0 votes
composite functions help
asked Apr 21, 2014 in ALGEBRA 2 by anonymous

3 Answers

0 votes

the functions are f(x) = - 6x - 1 and g(x) = 4x^2.

To find (fg)(x) = f(x) * g(x)

                   = (- 6x - 1)(4x^2).

To find the solution of (fg)(x),

(- 6x - 1)(4x^2) = 0

Apply zero product property.

- 6x - 1 = 0 and 4x^2 = 0

- 6x = 1 and x^2 = 0

x = - 1 / 6 and x = 0.

Therefore, solution for (fg)(x) is x = - 1 / 6 and x = 0.  

answered Apr 21, 2014 by lilly Expert
reshown Apr 22, 2014 by bradely
0 votes

The functions are f (x ) = - 6x - 1  and g (x ) = 4x 2

(f g)(x ) = ( f og )(x ) = f (g (x ))

Substitute the expression for functioning g  (in this case 4x 2 ) for g (x ) in the composition.

= f (4x 2)

Substitute the expression for functioning f  (in this case - 6x - 1) for f (x ) in the composition.

 = - 6(4x 2) - 1

= -24x 2 -1

(f g )(x ) = - 24x 2 - 1.

answered Apr 22, 2014 by david Expert
0 votes

The functions are f (x ) = - 6x - 1  and g (x ) = 4x 2

(f g)(x ) = ( f og )(x ) = f (g (x ))

Substitute the expression for functioning g  (in this case 4x 2 ) for g (x ) in the composition.

= f (4x 2)

Substitute the expression for functioning f  (in this case - 6x - 1) for f (x ) in the composition.

 = - 6(4x 2) - 1

= -24x 2 -1

(f g )(x ) = - 24x 2 - 1.

To solve (fg )(x ) = 0

- 24x 2 - 1 = 0

-24x 2 = 1

x 2 = 1/-24

x 2 = (0.041i ^2)

x  = sqrt(0.041 i 2)

x  = 0.2 i

Solution for (fg )(x ) is x  = 0.2i

answered Apr 22, 2014 by david Expert

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