All categories

4 years ago

What is the domain of the exponential function shown below? f(x) = 5 • 3x

Mathematics

2 answers:

Marrrta [24]4 years ago

7 0

The domain of an exponential function is always all real numbers.

Hope this helps!!!

strojnjashka [21]4 years ago

4 0

Answer:

Domain is (-∞,∞)

Step-by-step explanation:

$f(x) = 5* 3^x$

Given f(x) is an exponential function

Domain is the set of x values for which the function is defined

For domain we need to check for the restriction of x

x can take any positive and negative values

there is no restriction for x because it is in exponent

So domain is set of all real numbers

Domain is (-∞,∞)

You might be interested in

The measures of the obtuse angles in the isosceles trapezoid are five more than four times the measures of the acute angles. Wri

emmainna [20.7K]

Answer:

a. i. x + y = 180 (1) and x - 4y = 5 (2)

ii. The two acute angles are 35° each and the two obtuse angles are 145° each.

Step-by-step explanation:

a. The measures of the obtuse angles in the isosceles trapezoid are five more than four times the measures of the acute angles. Write and solve a system of equations to find the measures of all the angles.

i. Write a system of equations to find the measures of all the angles.

Let x be the obtuse angles and y be the acute angles.

Since we have two obtuse angles at the top of the isosceles trapezoid and two acute angles at the bottom of the isosceles trapezoid, and also, since the sum of angles in a quadrilateral is 360, we have

2x + 2y = 360

x + y = 180 (1)

Its is also given that the measures of the obtuse angles in the isosceles trapezoid are five more than four times the measures of the acute angles.

So, x = 4y + 5 (2)

x - 4y = 5 (2)

So, our system of equations are

x + y = 180 (1) and x - 4y = 5 (2)

ii. Solve a system of equations to find the measures of all the angles.

Since

x + y = 180 (1) and x - 4y = 5 (2)

Subtracting (2) from (1), we have

x + y = 180 (1)

x - 4y = 5 (2)

5y = 175

dividing both sides by 5, we have

y = 175/5

y = 35°

From (1), x = 180° - y = 180° - 35° = 145°

So, the two acute angles are 35° each and the two obtuse angles are 145° each.

4 0

3 years ago

If f(5)=<br> 3, write an ordered pair that must be on the graph of y = f(x + 1) + 2

vlabodo [156]

f(5) = 3 means (5,3) is on the graph of f.

On the new graph, y = f(x+1) + 2, what do the +1 and +2 do?

Things inside the function notation inpact the x-values, since that's where x sits.

This outside the f(x) notation impact the y-values, since those are done after you've evaluated the function.

"+1" on the inside shifts every point to the left 1 unit. (Inside changes are almost always opposite from what it looks like it would do.)

"+2" on the outside will shift every point up by 2 units.

So what do you get if you take (5,3) and shift it left 1 and up 2?

8 0

3 years ago

Prove that . 1+cot2 theta = cosec2theta

igor_vitrenko [27]

Answer:

see explanation

Step-by-step explanation:

Using the Pythagorean identity

sin²θ + cos²θ = 1 ( divide terms by sin²θ )

$\frac{sin^20}{sin^20}$ + $\frac{cos^20}{sin^20}$ = $\frac{1}{sin^20}$ , that is

1 + cot²θ = cosec²θ ← as required

6 0

3 years ago

Simplify this expressions

Nostrana [21]

Answer:

$\frac{36}{3 } = 12$

7 0

3 years ago

A tower that is 147 feet tall casts a shadow 151 feet long. Find the angle of elevation of the sun to the nearest degree.

Marina CMI [18]

Answer:44°

Step-by-step explanation:

Solution is in the attachment

8 0

3 years ago