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3 years ago

6

What does the expression “a red rag to the bull” suggest?

1 answer:

Eva8 [605]3 years ago

5 0

The last resort because you have no more options

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Given the following functions f(x) and g(x), solve (f ⋅ g)(3) and select the correct answer below:

Ksenya-84 [330]

I believe you may have the order incorrect. If we were looking at g(f(x)) the answer would be 47. We would get this by sticking the 3 in for x in f(x) and solving, which would give us 48. We would then stick that answer in for x in the g(x), giving us 47.

In its current order the answer would be 28.

6 0

3 years ago

Determine the domain of the function (fog)(x) where f(x)=3x-1/x-4 and g(x)=x+1/x

Katarina [22]

Answer: (-∞,-1) ∪ (0,+∞)

Step-by-step explanation: The representation fog(x) is a representation of composite function, meaning one depends on the other.

In this case, fog(x) means:

fog(x) = f(g(x))

fog(x) = $3(x+\frac{1}{x} )-\frac{1}{x+\frac{1}{x} } -4$

$fog(x)=3x+\frac{3}{x} -\frac{1}{\frac{x^{2}+x}{x} } -4$

$fog(x)=3x+\frac{3}{x} -\frac{x}{x^{2}+x} -4$

$fog(x)=\frac{3x^{2}(x^{2}+x)+3(x^{2}+x)-x-4x(x^{2}+x)}{x(x^{2}+x)}$

$fog(x)=\frac{3x^{4}+3x^{3}+3x^{2}+3x-x-4x^{3}+4x^{2}}{x(x^{2}+x)}$

$fog(x)=\frac{3x^{4}-x^{3}-x^{2}+2x}{x(x^{2}+x)}$

This is the function fog(x).

The domain of a function is all the values the independent variable can assume.

For fog(x), denominator can be zero, so:

$x(x^{2}+x) \neq 0$

If x = 0, the function doesn't exist.

$x^{2}+x \neq0$

$x(x+1) \neq0$

$x+1\neq0$

$x\neq-1$

<u>Therefore, the domain of this function is: </u><u>-∞ < -1 or x > 0</u>

5 0

3 years ago

The length of a rectangle is 8 more than the width. The area is 105 square centimeters. Find the length and width of the rectang

sashaice [31]

Answer:

Width = 7 cm

Length = 15 cm

Step-by-step explanation:

Let width = w

Length = w + 8

Area of rectangle = 105 sq. cm

length * breadth = 105

(w + 8)*w = 105

Use distributive property

w² + 8w = 105

w² + 8w - 105 = 0

Sum = 8

Product = -105

Factors = 15 , -7 {15 +(-7) = 8 & 15*(-7) = -105}

w² - 7m + 15m - 105 = 0

w(w - 7) + 15(m - 7) = 0

(w - 7)(w + 15) = 0

Ignore w + 15= 0 as measurements will not be in negative value

w - 7 = 0

w = 7

Width = 7 cm

Length = 7 + 8 = 15 cm

8 0

2 years ago

Will give brainliest

Radda [10]

Answer:

rectangle

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

Express this equation in logarithmic form.<br><br> 40. 5 = 2

Gemiola [76]

5 = 2 is an false statement, so it cannot be shown as a logarithmic equation.

4^0.5 = 2

$log_{4} ~2 = 0.5$

3 0

3 years ago

Read 2 more answers