All categories

3 years ago

Find the inverse f(x)=8-9x

Mathematics

1 answer:

Sati [7]3 years ago

4 0

Answer:

${f}^{ - 1} (x) = - \frac{1}{9} x + \frac{8}{9}$

Step-by-step explanation:

$f(x) = 8 - 9x$

$y = 8 - 9x$

$x = 8 - 9y$

$8 - 9y = x$

$- 9y = x - 8$

$y = - \frac{1}{9} x + \frac{8}{9}$

$\boxed{\green{{f}^{ - 1} (x) = - \frac{1}{9} x + \frac{8}{9}}}$

You might be interested in

Help im stupid plzzzzz

Marianna [84]

Answer:

the third option: x + 2(2x - 4) = 10

Step-by-step explanation:

the question tells you that y = 2x - 4.

so, instead of writing y in the equation, just replace it with 2x - 4.

x - 2y = 10

becomes

x - 2(2x-4) = 10

4 0

3 years ago

If recycling 2,500 pounds of paper saves 20 trees, how many trees are saved when 4,000 pounds of paper are recycled?

Elena L [17]

Answer:

This is a ratio question. Set 16/2000 = x/5000 and solve for x. = 40 trees

Step-by-step explanation:

3 0

3 years ago

The radius of the circle below intersects the unit circle at 5 5 What is the approximate value of e?

Nadya [2.5K]

Answer:

hello there!!!

tan (theta) = y / x

Substituting values we have:

tan (theta) = (4/5) / (3/5)

Rewriting we have:

tan (theta) = 4/3

Clearing theta:

theta = Atan (4/3)

theta = 53.13 degrees

Step-by-step explanation:

8 0

3 years ago

Which expression is equivalent to 2n + 3n - 0.32n? A.5.32n

il63 [147K]

Answer:

B. 4.68n

Step-by-step explanation:

Given

2n + 3n - 0.32n

= 5n - 0.32n

= 4.68n

Hope it will help :)❤

3 0

3 years ago

You start driving north for 12 miles, turn right, and drive east for another 16 miles. How many miles must you travel to return

aleksley [76]

The driver has to drive 20 miles to come back to the starting point directly

Step-by-step explanation:

The driver has driven in the form of two legs on a right-angled triangle where the vertical side (perpendicular) is 12 miles and the horizontal side (base) is 16 miles.

Now as the driver has to return back to the starting point directly, it will form a right-angled triangle making the direct path a hypotenuse

So,

B = 16

P = 12

H = ?

we have to find the hypotenuse

As the triangle is a right angled triangle, we can use the Pythagoras theorem to find the length of hypotenuse So,

$H^2 = B^2 + P^2\\H^2 = (16)^2 + (12)^2\\H^2 = 256+144\\H^2 = 400$

taking Square root on both sides

$\sqrt{H^2} = \sqrt{400}\\H = 20$

The driver has to drive 20 miles to come back to the starting point directly

Keywords: Pythagoras theorem, Right angled triangle

Learn more about Pythagoras theorem at:

#LearnwithBrainly

4 0

4 years ago