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Ksivusya [100]
2 years ago
12

If f(x) = 2x - 4 and g(x)= -5x + 6, then what is f(g(x))?

Mathematics
1 answer:
Nikitich [7]2 years ago
5 0

Answer:

B. f(g(x)) = -10x + 8

Step-by-step explanation:

When evaluating f(g(x)), substitute what g(x) is in place of g(x).

So instead of

f(g(x))

the function would be:

f(-5x + 6).

Now all you have to do is evaluate this.

To evaluate this function, substitute the value inside the f(x) for all instances of x in the equation.

f(x) = 2x - 4

f(-5x + 6) = 2(-5x + 6) - 4

f(-5x + 6) = -10x + 12 - 4

f(-5x + 6) = -10x + 8

Therefore, f(g(x)) = -10x + 8.

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I am just completely lost and am unsure of how to approach this problem.
Anastasy [175]

Answer:

68°

Step-by-step explanation:

As BA⊥BD, so ∠ABD = 90°

also, ∠ABD = ∠CBD + ∠ABC

⇒ 90° = 4x + 52° + 8x - 10°

⇒  12x = 48°

⇒  x = 4°

now,

∠CBD = 4x + 52°

          = 4(4°) + 52°

          = 68°

5 0
3 years ago
Find the solution of the system of equations.
avanturin [10]

Answer:

3

Step-by-step explanation:

The number is 3.

Step-by-step explanation:

Finding the Number

To find the number, we have to translate the problem above to an algebraic equation. The algebraic equation refers to the statement of the equality of two algebraic expressions.

Equation:

Let "x" be the number.

4 is divided by a number - 4/x

3 divided by the number decreased by 2 - 3/x-2

"4 is divided by a number is equal to 3 divided by the number decreased by 2"

4/x = 3/x-2

Solution:

Cross multiply.

4/x = 3/x-2

x(3) = 4(x-2)

3x = 4x - 8

(Combine similar terms.)

3x - 4x = - 8

- x = - 8

- x/- 1 = - 8/- 1

x = 8

Final Answer:

8

Checking:

4/x = 3/x-2

4/8 = 3/8-2

1/2 = 3/6

1/2 = 1/2 ✔

7 0
3 years ago
PLEASE HELP ASAP
Dafna1 [17]

Answer:

Step-by-step explanation:

27.068

28.08

28.15

29.94

6 0
1 year ago
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What is the perimeter of this shape? A. 26 cm B. 24 cm C. 22 cm D. 18 cm PLEASE HELP
Citrus2011 [14]
Perimeter is adding all dimensions:
11 + 2 + 8 + 5 = 26 cm
 Answer is A
3 0
3 years ago
Read 2 more answers
Whats 1000*1000 I<br> it's too short. Write at least 20 characters to get a great answer.
Alekssandra [29.7K]

Answer:

1000000

Step-by-step explanation:

4 0
2 years ago
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