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Alecsey [184]
3 years ago
10

Write the inverse function for the function, ƒ(x) = x + 4. Then, find the value of ƒ -1(4). Type your answers in the box.

Mathematics
1 answer:
lesya [120]3 years ago
3 0

The inverse is:

f^{-1}(x) = x-4

Further explanation:

Given function

f(x) = x+4

<u>Step 1: Replacing f(x) with y</u>

y = x+4

<u>Step 2: Replacing x with y and y with x</u>

x = y+4

<u>Step 3: Solving the equation for y</u>

x = y +4\\x -4 = y+4-4\\y = x-4

<u>Step 4: Replacing y with f-1(x)</u>

f^{-1}(x) = x-4

So, the inverse is:

f^{-1}(x) = x-4

Keywords: Functions, Inverse of function

Learn more about inverse of functions at:

  • brainly.com/question/3225044
  • brainly.com/question/4620451

#LearnwithBrainly

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3 years ago
Max read 100 pages in 2 h. Express this rate in the simplest fraction form.
Delicious77 [7]

Answer:

50 pages per hour

Step-by-step explanation:

\frac{100 pages}{2 hr} =\frac{50(2)}{1(2)} =\frac{50}{1} =50

5 0
4 years ago
Find the point P along the directed line segment from point A(-16,-8) to point B(0,-17) that divides the segment in the ratio 7
bonufazy [111]

Answer: P(-7.38,-12.85)

Steps:

Draw the directed line in a chart, including points A and B.

Look for the x coordinate of P:

the distance |B-A| along the x coord is |0-(-16)|=16

we are looking for a proportion of 7/13 of that:

the x coord of P is 16*7/13 to the right of -16, or -16+8.62= -7.38

Look for  y coordinate of P:

the distance |B-A| along the y coord is |-17-(-8)|=9

we are looking for a proportion of 7/13 of that:

the y coord of P is 9*7/13 down from -8, or -8-4.85= -12.85

so the point P is P(-7.38,12.85)


5 0
4 years ago
Sandy had test scores of 20, 25, 17, 22, and 21. What is the average (mean) score. On the next 3 test Sandy's score were 24, 24,
Nata [24]

Answer:

a) First Average mean = 21

b) Current mean = 22

Step-by-step explanation:

Formula For mean =

Sum of Terms/ Number of terms

a)Sandy had test scores of 20, 25, 17, 22, and 21.

Number of terms = 5

Mean = (20 + 25 + 17 + 22 + 21)/5

= 105/5

= 21

b) On the next 3 test Sandy's score were 24, 24, and 23

To calculate this current mean, we will add the first 5 test scores, with this current 3 test scores and then find the average.

Mean = (20+ 25+ 17 +22 +21 + 24 + 24 + 23)/8

Mean = 176/8

Mean = 22

7 0
4 years ago
Alan is paying a dinner check but he was not sure how much he should tip for his bill of $27 and thirty-eight. if a standard tip
morpeh [17]
So you need to find 15% of $27.38. To do this you can multiply 27.38 * .15 and get 4.107. Round to $4.11 and this is the tip. The total bill would be $31.49
3 0
3 years ago
Read 2 more answers
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