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Gennadij [26K]
3 years ago
7

Which represents the inverse of the function f(x) = 4x?

Mathematics
2 answers:
bekas [8.4K]3 years ago
6 0
Let  y = 4x

x = 1/4 y

f(-1)x = 1/4 x  = h(x)

Its D
natali 33 [55]3 years ago
4 0

Solution:

The inverse of f(x) is h(x)=1/4 x. D is correct.

Explanation:

We have been given the function  f(x) = 4x. In order to find the inverse of the function, we do below steps.

Step 1:

Let the given function f(x) as y

y=4x

Step 2:

Switch x and y

x=4y

Step 3:

Now, we solve for y

x=4y\\\text{Divide both sides by 4}\\\\\frac{x}{4} =y

This is the inverse of the given function. Hence, we have

f^{-1}(x)=h(x)=x/4=\frac{1}{4}x



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Guests at an amusement park must be at least 54 inches tall to be able to ride the roller coaster. Which graph represents the se
Gre4nikov [31]

Given:

Guests at an amusement park must be at least 54 inches tall to be able to ride the roller coaster.

To find:

The graph that represents the set of heights that satisfy this requirement.

Solution:

Let x be the height required for the ride.

Guests must be at least 54 inches tall to be able to ride the roller coaster. It means required height is greater than or equal to 54.

x\geq 54

So, 54 and all values above 54 are in the solution set.

Since, 54 is included in the solution set, therefore there is a closed circle at 54. All values above 54 are in the solution set, so everything to the right of the circle is shaded.

Therefore, the correct option is C.

3 0
3 years ago
Read 2 more answers
Solve for x in the equation shown below
baherus [9]

Answer:

x = 14

Step-by-step explanation:

Step 1: First, Simplify the fraction.

\frac{4x}{7} =8

Step 2: Next, Multiply both sides by 7.

4x = 8 × 7

Step 3: Simplify 8 × 7 to 56.

4x = 56

Step 4: Then, Divide both sides by 4.

x=\frac{56}{7}

Step 5: Lastly, Simplify the fraction and you're done!

x = 14

3 0
4 years ago
What are the last 2 digits of 7 to the power of 2018. This question was on a past exam paper.
Xelga [282]

Answer:

49

Step-by-step explanation:

  • Try finding pattern of last two digits of 7 to the power of some numbers.

7^1=07

7^2=49

7^3=343

7^4= 2301

7^5= 16807

  • so , the pattern is, 07,49,43,01
  • so, if we start writing all numbers from 1 to 2018 , four number in each line, 2018 will fall in the second column.
  • so it will have 49 as the  last 2 digits [by seeing this pattern : 07,49,43,01 ]
6 0
3 years ago
A square garden has an area of 144ft^2 .<br>What is the length side of the garden?
Vladimir [108]
12, because 144^2/2=12
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3 years ago
Bob pays $2 to see a shoe if bob has $4 before the show how much will he have left after the show
SIZIF [17.4K]

Answer:

$2

Step-by-step explanation:

4 - 2 = 2

7 0
3 years ago
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