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Greeley [361]
3 years ago
7

What is the inverse of the function f(x) = 2x + 1?

Mathematics
1 answer:
aliina [53]3 years ago
5 0
First, conceptually understand what an inverse function is, it makes solving it very intuitive.  An inverse function is simply a function which has points (y,x) for every point (x,y) of the parent function.  So you are essentially taking all points of the parent function and switching the x and y coordinates for each.  Those switched coordinates are produced by the "inverse function".

Mathematically then, finding the inverse function is a matter of solving for x and then switching the variable labels.  In this case:

y=2x+1  subtract 1 from both sides

y-1=2x  divide both sides by 2

(y-1)/2=x  now just switch the labels for the variables...

y=(x-1)/2  so

f^-1(x)=(x-1)/2  is the inverse of f(x)=2x+1
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Lim
insens350 [35]

Answer:

Step-by-step explanation:

f(-9+h)= (-9+h)² = h²-18h+81

f(-9+h)-f(-9)=h²-18h+81 -81 because : f(-9) = (-9)² = 81

f(-9+h)-f(-9)=h²-18h

(f(-9+h)-f(-9))/h=(h²-18h)/h = h(h-18)/h =h-18

lim  (f(-9+h)-f(-9))/h = lim(h-18= - 18

h→0                             h→0

4 0
3 years ago
A train has an average speed of 18 miles per hour. How long will it take to travel 270 miles?
NARA [144]
I believe the answer is 15 because if you divide 270/18 you get 15 <span />
8 0
3 years ago
Read 2 more answers
Simplify 4z2 + z2 + 6a.
podryga [215]
5z^2 + 6a is the simplified expression
5 0
3 years ago
If a fair die is rolled 3 times, what is the probability, to the nearest thousandth, of
seropon [69]

Answer:

0.347

Step-by-step explanation:

n = 3

p = 1/6

r = 1

Use binomial probability:

P = nCr pʳ qⁿ⁻ʳ

P = ₃C₁ (1/6)¹ (5/6)³⁻¹

P = 0.347

Or, using a calculator:

P = binompdf(n, p, r)

P = binompdf(3, 1/6, 1)

P = 0.347

7 0
3 years ago
if one Circle has a diameter of 10 cm and a second Circle has a diameter of 20 cm what is the ratio of the area of the larger ci
Oxana [17]
Area of a circle is πr^2.

The radius of the smaller circle with diameter 10 cm is 5 cm.

The radius of the larger circle with diameter 20 cm.is 10 cm.

Area of larger circle : Area of smaller circle

Area of larger circle = 100π.

Area of smaller circle = 25π.

Ratio = 100π : 25π or 100π/25π.

7 0
2 years ago
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