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3 years ago

If f(x) =1/9 x-2, what is f-1(x)?

Mathematics

2 answers:

Sav [38]3 years ago

7 0

Answer:

f^-1(x) = 9(x+2)

Step-by-step explanation:

To find the inverse function, exchange x and y and then solve for y

y = 1/9 x -2

Exchange x and y

x = 1/9 y-2

Solve for y

Add 2 to each side

x+2 = 1/9 y-2+2

x+2 = 1/9y

Multiply each side by 9

9(x+2) = 9*1/9y

9(x+2) = y

The inverse function

f^-1(x) = 9(x+2)

Leto [7]3 years ago

7 0

Answer:

9x+18

Step-by-step explanation:

$f^{-1}$ means they want you to find the inverse function of y=1/9 x-2.

The inverse is just a swapping of x and y.

People tend to remake the y part the subject again because they want to write it as a function.

Let's start:

$y=\frac{1}{9}x-2$

Swap x and y:

$x=\frac{1}{9}y-2$

Now it's time to solve for y:

Add 2 on both sides:

$x+2=\frac{1}{9}y$

Multiply both sides by 9:

$9(x+2)=y$

Distribute:

$9x+18=y$

So The inverse function is:

$f^{-1}(x)=9x+18$

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The function f(x) = 6x + 8 is transformed to function g through a horizontal stretch by a factor of 5. What is the equation of f

elixir [45]

Answer:

$g(x) = 30\cdot x +40$ ; $a \approx 1.898$ , $k = 40$ .

Step-by-step explanation:

The resultant function is obtained by multiplying $f(x)$ by a real number $k$ . That is:

$g(x) = k \cdot f (x)$

If $k = 5$ and $f(x) = 6\cdot x + 8$ , then $g(x)$ is:

$g(x) = 5\cdot (6\cdot x + 8)$

$g(x) = 30\cdot x +40$

Given that presence of the expression $g(x) = 6^{a}\cdot x + k$ , then:

$6^{a} = 30$ and $k = 40$

The value of a is obtained by applying the definition of logarithms:

$a = \log_{6}30$

$a \approx 1.898$

Finally, the value of k is found by direct comparison:

$k = 40$

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3 years ago

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Luden [163]

I think that the answer is 2400. hope it help???

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4 years ago

Find the value of x cubed minus 2x squared minus 7x + 5 of x=1/2-√3

Svetach [21]

9514 1404 393

Answer:

Step-by-step explanation:

For f(x) = x^3 -2x^2 -7x +5 and x=1/(2-√3), we have ...

f(x) = ((x -2)x -7)x +5

and ...

x = 1/(2-√3) = (2+√3)/(2^2 -3) = 2+√3

Then ...

f(2+√3) = ((2 +√3 -2)(2 +√3) -7)(2 +√3) +5

= (3+2√3 -7)(2+√3) +5

= 2(√3 -2)(√3 +2) +5 = 2(3 -4) +5 = -2 +5

f(1/(2 -√3)) = 3

_____

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3 years ago

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mash [69]

Answer:

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Step-by-step explanation:

multiplication

with the option of none

4*2*3=24

without the option of none

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