The inverse function of the function f(x) will be f⁻¹(x) = 4x + 48. Then the correct option is D.
The complete question is attached below.
<h3>What is inverse of a function?</h3>
Suppose that the given function is
f: X → Y
Then, if function 'f' is one-to-one and onto function (a needed condition for inverses to exist), then, the inverse of the considered function is
f⁻¹: Y → X
It simply means, inverse of 'f' is an undo operator, that takes back the effect of 'f'
The function is given below.
f(x) = (1/4)x – 12
Then the inverse function of the function f(x) will be
(1/4)f⁻¹(x) - 12 = x
f⁻¹(x) = 4x + 48
Then the correct option is D.
Learn more about inverse function here:
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the answer is 60.75 you had to multiply then add
(3c+s)(100-20)/100=100 multiply both sides by 100
(3c+s)80=10000 divide both sides by 80
3c+s=125 subtract 3c from both sides...
s=125-3c....now let's look at the second situation...
(4c+2s)(100-40)/100=120 multiply both sides by 100
60(4c+2s)=12000 divide both sides by 60
4c+2s=200 divide both sides 2
2c+s=100 subtract 2c from both sides
s=100-2c, and from earlier we saw that s=125-3c, since s=s:
100-2c=125-3c add 3c to both sides
100+c=125 subtract 100 from both sides
c=25, and since s=100-2c
s=50
So cds cost $25.00 and sweatshirts cost $50.00
Answer:
6.11km/hr
Step-by-step explanation:
Let the speed that Kelli swims be represented by Y
Speed of the river = 5km/hr
Distance = Speed × Time
Kelli swam upstream for some distance in one hour
Swimming upstream takes a negative sign, hence:
1 hour ×( Y - 5) = Distance
Distance = Y - 5
She then swam downstream the same river for the same distance in only 6 minutes
Downstream takes a positive sign
Converting 6 minutes to hour =
60 minutes = 1 hour
6 minutes =
Cross Multiply
6/60 = 1/10 hour
Hence, Distance =
1/10 × (Y + 5)
= Y/10 + 1/2
Equating both equations we have:
Y - 5 = Y/10 + 1/2
Collect like terms
Y - Y/10 = 5 + 1/2
9Y/10 = 5 1/2
9Y/ 10 = 11/2
Cross Multiply
9Y × 2 = 10 × 11
18Y = 110
Y = 110/18
Y = 6.1111111111 km/hr
Therefore, Kelli's can swim as fast as 6.11km/hr still in the water.
The answer is 12
12-(5+3)=4
4+8=12
