All categories

3 years ago

Given: f(x)=x^(2)-3 and g(x)=x+1 the composite function g*f is

Mathematics

2 answers:

Ivenika [448]3 years ago

8 0

Answer:

Step-by-step explanation:

I'm assuming g*f means g times f, so you want to multiply the two functions together.

(x² - 3)(x + 1) Since the product is 2 binomials, use FOIL

= x²(x) + x²(1) - 3(x) - 3(1)

which simplifies to

qaws [65]3 years ago

4 0

Answer: x³ + x² - 3x - 3

Step-by-step explanation:

You might be interested in

Question12....................................

tatyana61 [14]

Answer:

u = ± 4

Step-by-step explanation:

Given

u² = 16 ( take the square root of both sides )

u = ± $\sqrt{16}$ = ± 4

u = - 4, u = 4

5 0

3 years ago

A boat is heading towards a lighthouse, where Luis is watching from a vertical distance of 107 feet above the water. Luis measur

Crazy boy [7]

Using the slope concept, it is found that the distance from point A to point B is of 465 feet.

<h3>What is a slope?</h3>

The slope is given by the vertical change divided by the horizontal change, and it's also the tangent of the angle of depression.

To find the horizontal position at point A, we have that:

tan(10º) = 107/dA

dA = 107/tan(10º)

dA = 607.

For the horizontal position at point B, we have that:

tan(37º) = 107/dB

dB = 107/tan(37º)

dB = 142.

Hence the distance is given by:

D = dA - dB = 607 - 142 = 465.

More can be learned about the slope concept at brainly.com/question/18090623

#SPJ1

6 0

2 years ago

A line with a slope of 2 passes through the points (0,4) and (-6,v). What is the value of v?

krok68 [10]

To solve this problem, we should create an equation using the given information. To do this, we should calculate the slope between the two points as if they were regular points, giving us:

change in y/change in x = (v-4)/(-6-0) = (v-4)/(-6)

Since we know that the slope is 2, we can set our calculated value for the slope of the line for the equation (v-4)/(-6) equal to 2, as shown below:

(v-4)/(-6) = 2

To solve this equation, we should multiply both sides of the equation by -6 to get rid of the denominator on the left side of the equation.

v-4 = -12

Next, we should add 4 to both sides of the equation to get the variable v alone on the left side of the equation, as shown below:

v = -8

Therefore, v =-8 is your answer.

Hope this helps!

4 0

3 years ago

5 more than the quotient of a number and 8 is 42

Zepler [3.9K]

Answer:

<u>The number is 296.</u>

Step-by-step explanation:

Let's call "x" to the number we are looking for.

Now, the problem states that "5 more than the quotient of a number and 8 is 42". This means that this number is being divided by 8, it's also being additioned 5 and the final result is 42. Therefore, the expression of this operations on this number is the following:

$\frac{x}{8}+5=42$ . Let's solve the equation to find x.