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3 years ago

What is the value of (f-g)(7)?f(x)=2+x;g(x)=x^2+5(f-g)(7)=[1]

Mathematics

1 answer:

Sav [38]3 years ago

8 0

Answer:

Alright so on this type of problem you just perform the operation they ask for, which in this case is subtraction.

Your first step will be to set up the problem:

f(x) - g(x)

Next you will substitute in your values:

(2x + 1) - (x2 - 7)

The easiest way to do the subtraction problems is to distribute your negative into your second set of parenthesis, so your expression would become:

2x + 1 - x2 + 7

Then combine your like terms:

2x - x2 + 8

Lastly put your expression in standard form (highest exponent to lowest)

-x2 + 2x + 8

Hope this helped!

Step-by-step explanation:

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The number of people whose hobby is reading but not riding a motorcycle is 5.

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2 years ago

Please does anyone know how to do this x

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3 years ago

A minimum temperature of -4.44°C was recorded at a lake. A minimum temprature of 23.3°C was recorded later on the same day. Dete

GuDViN [60]

Answer:

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Step-by-step explanation:

23.3° C - (-4.44° C)

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3 years ago

According to Lambert's law, the intensity of light from a single source on a flat surface at point P is given by Upper L equal

malfutka [58]

Answer:

(a) $L = k*(1 - sin^{2}(\theta))$

(b) L reaches its maximum value when θ = 0 because cos²(0) = 1

Step-by-step explanation:

Lambert's Law is given by:

$L = k*cos^{2}(\theta)$ (1)

(a) We can rewrite the above equation in terms of sine function using the following trigonometric identity:

$cos^{2}(\theta) + sin^{2}(\theta) = 1$

$cos^{2}(\theta) = 1 - sin^{2}(\theta)$ (2)

By entering equation (2) into equation (1) we have the equation in terms of the sine function:

$L = k*(1 - sin^{2}(\theta))$

(b) When θ = 0, we have:

$L = k*cos^{2}(\theta) = k*cos^{2}(0) = k$

We know that cos(θ) is a trigonometric function, between 1 and -1 and reaches its maximun values at nπ, when n = 0,1,2,3...

Hence, L reaches its maximum value when θ = 0 because cos²(0) = 1.

I hope it helps you!

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3 years ago

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3 years ago

Read 2 more answers

What is the value of (f-g)(7)?f(x)=2+x;g(x)=x^2+5(f-g)(7)=[1]​

What is the value of (f-g)(7)?f(x)=2+x;g(x)=x^2+5(f-g)(7)=[1]