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3 years ago

Please help Asap Let f(x) = x^2 and g(x) = 2x.

Mathematics

1 answer:

julia-pushkina [17]3 years ago

4 0

Answer:

f ∘ g = 4x²

Step-by-step explanation:

Composite function:

A composition of functions f and g is given by:

$f \circ g(x) = f(g(x))$

In this question, we have that:

$f(x) = x^2, g(x) = 2x$

So the composite function is:

$f \circ g = f(g(x)) = f(2x) = (2x)^2 = 4x^2$

f ∘ g = 4x²

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Which expressions are equivalent to 2 ln a + 2 ln b - ln a?

ycow [4]

Answer:

Choices 2, 3, and 5 are correct.

Step-by-step explanation:

Complete question is:

Check all that apply.

1. ln ab² - ln a

2. ln a + 2 ln b

3. ln a² + ln b² - ln a

4. 2 ln ab

5. ln ab²

ANSWER:

The given expression is : 2 ln a + 2 ln b - ln a

It simplifies to: ln a + ln b² = ln ab²

Checking the given options.

1. ln ab² - ln a = ln (ab²)/a = ln b²

FALSE

2. ln a + 2 ln b = ln ab²

TRUE

3. ln a² + ln b² - ln a = ln (a²b²)/a = ln ab²

TRUE

4. 2 ln ab = ln a²b²

FALSE

5. ln ab²

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4 0

4 years ago

A system of equations has infinitely many solutions. If 2y - 4x = 6 is one of the equations, which could be the other

Serjik [45]

Answer:

-y = -2x - 3

Option 3

Step-by-step explanation:

When equations are equivalent, they will have infinitely many solutions.

If you want to find an equivalent equation, you can multiply/divide every term in the equation by the same number. You can also rearrange the equation.

Since the options mostly have "y" by itself, start by rearranging to isolate "y" in the given equation.

Move all the other numbers to the right of the equal sign except for "y". To move a number, apply its reverse operation to the entire equation.

Do reverse operations in reverse BEDMAS order.

2y - 4x = 6 Move "-4x" first. It's reverse is +4x.

2y - 4x + 4x = 6 + 4x

2y = 6 + 4x Move the "2" in 2y. Divide the whole equation by 2.

2y/2 = 6/2 + 4x/2

y = 3 + 2x Rearrange to look like the answer choices.

y = 2x + 3

This equation looks like option 3 except every term has a different negative/positive.

y = 2x + 3 -y = -2x - 3

We can multiply every term by -1.

y = 2x + 3

y*-1 = 2x*-1 + 3*-1

-y = -2x + (-3) Negative and positive make a negative

-y = -2x - 3 Same as option 3

6 0

3 years ago

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Suppose when solving a system of linear equations in two variables, both variables happen to cancel, leaving you with a false st

miss Akunina [59]

Step-by-step explanation:

C. The system of equations is unsolvabl

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3 years ago

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Do u know something about Find the quotient.?

denis23 [38]

Answer:

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Step-by-step explanation:because 3x5 is 15 and you cannot go furhter than that.

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3 years ago

3a+4b= c solve for b

Alina [70]

Answer:

b = (c - 3a)/4

Step-by-step explanation:

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4b = c - 3a

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2 years ago