Ask question

Ask question

All categories

katrin2010 [14]

3 years ago

6

F^(-2) = fl-4) = ff"(-2)) =

1 answer:

Novay_Z [31]3 years ago

6 0

Answer:The line goes through the points (4,-3) and (0,-2), so its gradient is (-2-(-3))/(0-4) = -1/4. The y-intercept is -2 because f(0)=-2. So the equation of the line is y = -1/4 x - 2.This can be represented by the linear function f(x) = (-1/4)x - 2. The composite function ff is given by ff(x) = f(-1/4 x - 2) = (-1/4)((-1/4)x - 2) - 2 = x/16 - 3/2.HOPE'S THIS HELP'S

You might be interested in

A box of cereal contains 18 cups. Ben eats 2 1/4 cups every serving. How many servings can he eat?

g100num [7]

Ben can have 8 servings total!

Hope this helps! :)

4 0

3 years ago

Prove that an = 4^n + 2(-1)^nis the solution to

olga nikolaevna [1]

Answer:

See proof below

Step-by-step explanation:

We have to verify that if we substitute $a_n=4^n+2(-1)^n$ in the equation $a_n=3a_{n-1}+4a_{n-2}$ the equality is true.

Let's substitute first in the right hand side:

$3a_{n-1}+4a_{n-2}=3(4^{n-1}+2(-1)^{n-1})+4(4^{n-2}+2(-1)^{n-2})$

Now we use the distributive laws. Also, note that $(-1)^{n-1}=\frac{1}{-1}(-1)^n=(-1)(-1)^{n}$ (this also works when the power is n-2).

$=3(4^{n-1})+6(-1)^{n-1}+4(4^{n-2})+8(-1)^{n-2}$

$=3(4^{n-1})+(-1)(6)(-1)^{n}+4^{n-1}+(-1)^2(8)(-1)^{n}$

$=4(4^{n-1})-6(-1)^{n}+8(-1)^{n}=4^n+2(-1)^n=a_n$

then the sequence solves the recurrence relation.

4 0

3 years ago

Which of the following arcs are congruent in the circle below?

BartSMP [9]

Answer:

C

Step-by-step explanation:

CB is congruent to AB because the both are 30 degrees

8 0

3 years ago

The most Mimi can afford to pay per year in mortgage payments is $12,500, and her credit score is currently 531. According to th

ivann1987 [24]

Answer:

89 points

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

I need help 0.259 written out as a fraction or mixed number?

oksano4ka [1.4K]

1) To write 0.259 as a fraction let's firstly rewrite as

$\frac{259}{1000}$

2) Count the digits the dot has gone to the left. Each digit to the left means divided by ten. Like this:

3) Since it starts with a zero then it can't be a Mixed number. So it is an improper fraction. No further simplification could be done.

4 0

1 year ago