Drag the tiles to the correct boxes to complete the palrs.
If f(x) = 2x+3 and g(x) = x -1, find the values of combining these functions. Match each combined function to its corresponding value.

(f+g)(2)
(f-g)(4)
(f ÷g)(2)
(f x g)(1)

-4
7/3
10
0

Question

25-06-2021
Mathematics

contestada

Drag the tiles to the correct boxes to complete the palrs.
If f(x) = 2x+3 and g(x) = x -1, find the values of combining these functions. Match each combined function to its corresponding value.

(f+g)(2)
(f-g)(4)
(f ÷g)(2)
(f x g)(1)

-4
7/3
10
0

Respuesta :

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joaobezerra joaobezerra · Answer 1 · 2021-06-30T02:18:35+02:00

Answer:

(f+g)(2) = 4

(f-g)(4) = 8

(f ÷g)(2) = 7

(f x g)(1) = 0

Step-by-step explanation:

We are given these following functions:

[tex]f(x) = 2x + 3[/tex]

[tex]g(x) = x - 1[/tex]

(f+g)(2)

[tex](f+g)(x) = f(x) + g(x) = 2x + 3 + x - 1 = 3x - 2[/tex]

At [tex]x = 2[/tex]

[tex](f+g)(2) = 3(2) - 2 = 6 - 2 = 4[/tex]

Then

(f+g)(2) = 4

(f-g)(4)

[tex](f-g)(x) = f(x) - g(x) = 2x + 3 - (x - 1) = 2x + 3 - x + 1 = x + 4[/tex]

At x = 4

[tex](f-g)(4) = 4 + 4 = 8[/tex]

Then

(f-g)(4) = 8

(f ÷g)(2)

[tex](f \div g)(x) = \frac{f(x)}{g(x)} = \frac{2x+3}{x-1}[/tex]

At x = 2

[tex](f \div g)(2) = \frac{7}{1} = 7[/tex]

Then

(f ÷g)(2) = 7

(f x g)(1)

[tex](f \times g)(x) = f(x)g(x) = (2x+3)(x-1) = 2x^2 -2x + 3x - 3 = 2x^2 + x - 3[/tex]

Then

[tex](f \times g)(1) = 2(1)^2 + 1 - 3 = 3 + 1 - 3 = 0[/tex]

So

(f x g)(1) = 0

Drag the tiles to the correct boxes to complete the palrs. If f(x) = 2x+3 and g(x) = x -1, find the values of combining these functions. Match each combined function to its corresponding value. (f+g)(2) (f-g)(4)(f ÷g)(2) (f x g)(1) -47/3100​

Respuesta :

Otras preguntas

Drag the tiles to the correct boxes to complete the palrs.
If f(x) = 2x+3 and g(x) = x -1, find the values of combining these functions. Match each combined function to its corresponding value.

(f+g)(2)
(f-g)(4)
(f ÷g)(2)
(f x g)(1)

-4
7/3
10
0