MATHEMATICS COLLEGE

Find the inverse of the function f(x) = 2x - 4.g(x) = 1/2x - 1/4
g(x) = 1/4x - 1/2
g(x) = 4x + 2
g(x) = 3x+2

Answers

Answer 1
Answer:

Answer:

D, g(x) = 1/2 x + 2

Step-by-step explanation:

The second answer IS ONE TO ONE
Answer 2
Answer:

Answer:

None of the options are correct, but I got g(x)=1/2x+2.

Step-by-step explanation:

You start with the equation. You first need to change f(x) to y, and switch the x and y values. After this, your equation would be x=2y-4. Then, you need to icolate the y value, and to do that you first cancel out the four by adding it to both sides, and now your equation should be x+4=2y. The second step in icolating the y value is dividing everything in the equation by two. Now that the y is icolated, you equation should be y=1/2x+2. You then change the y to be g(x), and that's how I got my answer, g(x)=1/2x+2. You should ask your teacher about this, becuase from my calculations, none of the given responses would be correct. Sorry if that doesn't help you at all but yeah

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Ralph and Melissa watch lots of videos. But they have noticed that they don't agree very often. In fact, Ralph only likes about 10% of the movies that Melissa likes, i.e., P(Ralph likes a movie|Melissa likes the movie) = .10 They both like about 37% of the movies that they watch. (That is, Ralph likes 37% of the movies he watches, and Melissa likes 37% of the movies she watches.) If they randomly select a movie from a video store, what is the probability that they both will like it? prob. =
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Find the sum: 3 4/5+2 1/4 i need helpnplzzz ​

Answers

Answer:

6 1/20 or as a decimal 6.05

Reflect the point (0, -2) across the line y= 6

Answers

Answer:

0, 14

Step-by-step explanation:

-2, is 8 away from 6, so you add 8 to 6 to reflect it and get 14

If Jim drove 5 miles to work. Kari drove 3 times as many miles as Jim. Sondra drove 4 times as many miles as Kari. How many more miles did Sondra drive than Kari.

Answers

Answer:

45

Step-by-step explanation:

kari had 15 miles 5x3=15

sondra had 60 miles 15x4=60

40-15=45
Sondra drove 45 more miles than Kari because Kari drove 15 miles (5x3) and Sondra drove 60 miles (15x4) so 60-15=45.

If 60% of a given number is 18.0 what is 25% of the given number​

Answers

Answer:

7.5

Step-by-step explanation:

60% = 0.6

18 / 0.6 = 30 (given number)

25% = 0.25

30 * 0.25 = 7.5

Best of Luck!

Answer:

2.7

Step-by-step explanation:

60/100x = 18

x = 10.8

25/100x = ?

25/100 (10.8) = 2.7

1) Two pieces of a pole arle cut into 5 inches each from an original pole that was 20 incheslong. What is the length of the remaining part of the 20 inch pole?
HELP Please

Answers

Answer:

it is 10 because 5x2= 10and20-10=10

Use the product rule to answer each of the questions below. Throughout, be sure to carefully label any derivative you find by name. It is not necessary to algebraically simplify any of the derivatives you compute.a. Let m (w) = 3 w^17 4^w. Find m ′(w) .
b. Let h (t) = ( sin (t) + cos (t)) t 4. Find h ′(t).
c. Determine the slope of the tangent line to the curve y = f (x) at the point where a = 1 if f is given by the rule f(x) = e^x sin (x).
d. Find the tangent line approximation L(x) to the function y = g (x) at the point where a = − 1 if g is given by the rule g (x) = ( x^2 + x ) 2^x .

Answers

Answer:

A)  M'(w) = w^16 * 4^w [ 51 + 3w In4 ]

B) h'(t) = [ cos (t) - sin (t) ] t^4  + [ sin(t) + cos (t) ] 4t^3

C)  f'(1) = e' [sin(1) + cos(1) ]

D) g'(a) = 0 - 1/2

L(x) = - 1/2 ( x + 1 )

Step-by-step explanation:

Attached below is the detailed solution of the problem

A) m(w) = 3w^17 * 4^w

M'(w) = w^16 * 4^w [ 51 + 3w In4 ]

B) h(t) = [sin(t) + cos(t) ] t^4

h'(t) = [ cos (t) - sin (t) ] t^4  + [ sin(t) + cos (t) ] 4t^3

C)  f(x) = e^x sin (x).  at a = -1

f'(1) = e' [sin(1) + cos(1) ]

D) g (x) = ( x^2 + x ) 2^x .

g'(a) = 0 - 1/2

L(x) = - 1/2 ( x + 1 )
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