What is the inverse of the function f(x) = 1/9x+ 2?

Mathematics

1 answer:

hichkok12 [17]2 years ago

4 0

Answer:

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

Step-by-step explanation:

$y=f(x)=\dfrac 19 x +2\\\\\text{Replace x with y and then solve for y,}\\\\~~~~~~~x = \dfrac 19 y+2\\\\\implies 9x =y + 18~~~~~~~~~~~~~~~;[\text{Multiply both sides by 9}]\\ \\\implies y = 9x -18\\\\\implies f^{-1}(x) = 9x -18\\\\\text{Hence, the inverse of the given function is}~ f^{-1}(x) = 9x -18.$

You might be interested in

What to fractions are equivalent to 1/3

Alinara [238K]

Answer:

2/6 And 4/12

Step-by-step explanation:

both simplified equals 1/3.

5 0

3 years ago

Read 2 more answers

Select the correct inequality to make a true statement

polet [3.4K]

Step-by-step explanation:

$\frac{1}{4} \boxed{?} \frac{3}{8} \\ \\ \frac{1}{4} = \frac{2}{8} \\ \\ \because \: 2 < 3 \\ \therefore \: \frac{1}{4} \boxed{ < } \frac{3}{8}$

7 0

3 years ago

How many ways can you order the digits 2,3,4 and 5. you can only use each number once?

butalik [34]

The number of permutations of the 4 different digits is:
$4\times3\times2\times1=24
$
The answer is 24 ways.

5 0

3 years ago

a rectangular pyramid has a volume of 560 cubic meters. the base has a length of 16 meters and a width of 10 meters. what is the

ollegr [7]

The awnser is a...........

5 0

2 years ago

Read 2 more answers

HELP PLEASE <br><br><br> Simplify.

maksim [4K]

Simplifying
2x + -3(3 * 0.6x + 2.7)

Multiply 3 * 0.6
2x + -3(1.8x + 2.7)

Reorder the terms:
2x + -3(2.7 + 1.8x)
2x + (2.7 * -3 + 1.8x * -3)
2x + (-8.1 + -5.4x)

Reorder the terms:
-8.1 + 2x + -5.4x

Combine like terms: 2x + -5.4x = -3.4x
-8.1 + -3.4x

7 0

3 years ago