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Elenna [48]
3 years ago
8

Find the inverse function

Mathematics
1 answer:
Alex3 years ago
3 0

The inverse of this function is f(x) = \frac{3x + 15}{4}


To find the inverse of any function, start by switching the x and f(x) term. Then solve for the new f(x). The result will be the inverse function. The step-by-step process is below for you.


f(x) = \frac{-15 + 4x}{3} ----> Switch the x and f(x)


x = \frac{-15 + 4f(x)}{3} ----> Muliply both sides by 3


3x = -15 + 4f(x) ----> Add 15 to both sides


3x + 15 = 4f(x) ----> Divide both sides by 4.


f(x) = \frac{3x + 15}{4}

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Solve for x, y, and z
zloy xaker [14]

Answer:

The solution is x=1,y=2,z=3

Step-by-step explanation:

The given system of equations is ;\

2x−3y+4z=8...(1)

3x+4y−5z=−4...(2)

4x−5y+6z=12...(3)

Make x the subject in equation (1)

x=\frac{8+3y-4z}{2}...(4)

Put equation (4) into equation (2) and (3)

3(\frac{8+3y-4z}{2})+4y-5z=-4

Multiply through by;

3(8+3y-4z)+8y-10z=-8

Expand;

24+9y-12z+8y-10z=-8

Simplify;

17y-22z=-32...(5)

Equation (4) in (3)

4(\frac{8+3y-4z}{2})-5y+6z=12

2(8+3y-4z)-5y+6z=12

16+6y-8z-5y+6z=12

y-2z=-4

y=2z-4...(6)

Put equation (6) into equation (5)

17(2z-4)-22z=-32

34z-68-22z=-32

34z-22z=-32+68

12z=36

z=3

Put z=3 into equation (6)

y=2(3)-4=2

Put y=2 and z=3 into equation 4

x=\frac{8+3(2)-4(3)}{2}=1

The solution is x=1,y=2,z=3

3 0
3 years ago
✓-90= Ai√B<br> What is the value of A?<br> What is the value of B?
olga2289 [7]

Answer:

A = 3, B = 10

Step-by-step explanation:

\sqrt{-90}

= \sqrt{9(-1)(10)}

= \sqrt{9} × \sqrt{-1} × \sqrt{10}

= 3i\sqrt{10}

in the form Ai\sqrt{B}

with A = 3 and B = 10

5 0
2 years ago
Which statement about the data in the table shown is true?
nalin [4]

Answer:

i would say B.. sorry of its not the right one..

Step-by-step explanation:

5 0
3 years ago
Write 6% as a fraction or as a mixed number
Contact [7]
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5 0
3 years ago
IS THIS CORRECT ???????
Shkiper50 [21]

Answer:

yes

Step-by-step explanation:

8 0
3 years ago
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