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Vesna [10]
3 years ago
15

If f(×)=4×^2+1 and g(x)=×^2-5 find (f-g)(×)​

Mathematics
1 answer:
trasher [3.6K]3 years ago
8 0

Answer:

\large\boxed{(f-g)(x)=3x^2+6}

Step-by-step explanation:

(f-g)(x)=f(x)-g(x)\\\\f(x)=4x^2+1,\ g(x)=x^2-5\\\\\text{Substitute:}\\\\(f-g)(x)=(4x^2+1)-(x^2-5)=4x^2+1-x^2-(-5)\\\\=4x^2+1-x^2+5\qquad\text{combine like terms}\\\\=(4x^2-x^2)+(1+5)=3x^2+6

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Arianna runs up 4 flights of stairs then runs down 4 flights of stairs. Does this situation represent additive inverses
dexar [7]

Answer:

Yes because she ends up back at zero

8 0
3 years ago
Help me with the right answer
Nadya [2.5K]

Answer:

x = 3

y = 1

Step-by-step explanation:

9x - y = 26  ---------------(I)

9x + y = 28 ---------------(II)

9x - y = 26

9x = 26 + y

Substitute 9x = 26 + y in equation (II)

26 + y + y = 28               {add like terms}

26 + 2y = 28             {subtract 26 from both sides}

         2y = 28 - 26

        2y = 2    {divide both sides by 2}

           y = 2/2

y = 1

Substitute y =1 in equation (I)

9x - 1 = 26

9x = 26 + 1

9x = 27

x = 27/9

x = 3

x = 3

y = 1

6 0
3 years ago
Read 2 more answers
2. Change the following statements into coordinate points and then plot them!
GREYUIT [131]

Answer:

The points are (-1, 1), (2, 7), (1, -1), (3, 0)

Step-by-step explanation:

Let us solve the question

∵ f(x) = y

∴ The coordinates of the point are (x, y)

→ Let us use this fact to find the coordinates of each point

∵ f(-1) = 1

∴ x = -1 and y = 1

∴ The coordinates of the point are (-1, 1)

∵ f(2) = 7

∴ x = 2 and y = 7

∴ The coordinates of the point are (2, 7)

∵ f(1) = -1

∴ x = 1 and y = -1

∴ The coordinates of the point are (1, -1)

∵ f(3) = 0

∴ x = 3 and y = 0

∴ The coordinates of the point are (3, 0)

The graph is attached down

8 0
2 years ago
What is the solution set of the inequality x5 + x4 - 6x3 + x2 + x - 6 ≥ 0?
Ainat [17]
The answer is C

because:
6 0
3 years ago
I need the answer. Please help me . It’s due today
Phoenix [80]

9514 1404 393

Answer:

  graph: lower right

  π units to the right of the graph of f(x)

Step-by-step explanation:

The transformation of f(x) to f(x-h) is a translation to the right by h units.

Here, the function f(x) = 1/2cos(x) is transformed to f(x-π) = 1/2cos(x-π), so is a translation of f(x) to the right by π units.

The graph of the translated function is shown below.

4 0
3 years ago
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