3 years ago

Find the inverse function of f(x)=4x-8

Mathematics

1 answer:

kipiarov [429]3 years ago

8 0

Answer:

f^-1(x)=1/4x+2

Step-by-step explanation:

y=4x-8

change x and y

x=4y=8

switch sides

4y-8=x

add 8

4y=x+8

divide both sides by 4

y=1/4x+2

substitute f^-1(x) for y

f^-1(x)=1/4x+2

You might be interested in

47, , 55, 59, , 67 whats the next 2 numbers

zmey [24]

Answer: 75,83

Step-by-step explanation: add by 8 to every number

3 0

3 years ago

Read 2 more answers

1] If 221ₓ= 25₁₀ find X<br> 2] if 3ₓ + 34ₓ - 40ₓ = 0 find x<br> 3] if 23ₓ = 1111₂ find x

Olin [163]

$2\cdot x^2+2\cdot x^1+1\cdot x^0=25\\2x^2+2x+1=25\\2x^2+2x-24=0\\x^2+x-12=0\\x^2+4x-3x-12=0\\x(x+4)-3(x+4)=0\\(x-3)(x+4)=0\\x=3 \vee x=-4$

The base can't be negative, therefore $x=3$ .

$3\cdot x^0+3\cdot x^1+4\cdot x^0-4\cdot x^1+0\cdot x^0=0\\3+3x+4-4x=0\\x=7$

$2\cdot x^1+3\cdotx^0=1\cdot 2^3+1\cdot2^2+1\cdot2^1+1\cdot2^0\\2x+1=8+4+2+1\\2x=14\\x=7$

5 0

2 years ago

At a certain time of day, a tree that is x meters tall casts a shadow that is x−46x−46 meters long. if the distance from the top

Alexus [3.1K]

By the Pythagorean theorem,
.. x^2 +(x -46)^2 = (x +4)^2
.. 2x^2 -92x +2116 = x^2 +8x +16
.. x^2 -100x +2100 = 0
.. (x -50)^2 -400 = 0
.. x = 50 ±20 . . . . . only x=70 makes any sense in the problem

The height, x, of the tree is 70 meters.

5 0

3 years ago

Slope-intercept form of y + 3 = 4(x – 5).

Nataly [62]

Answer:

y = − 4 x + 23

Hope this helps

8 0

3 years ago

In a parallelogram ABCD , the bisector of angle A bisects BC at X. Prove that AD=2 AB.

erica [24]

There's no diagram, so I made my own.
But I can't prove AD = 2*AB

7 0

3 years ago