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hoa [83]
1 year ago
14

If f(x) = -5^x - 4 and g(x) = -3x - 2, find (f - g) (x).

Mathematics
1 answer:
Morgarella [4.7K]1 year ago
8 0

Answer:

-5^x + 3x - 2.

Step-by-step explanation:

(f - g) (x) = f(x) - g(x)

=  -5^x - 4 - (-3x - 2)

= -5^x - 4 + 3x + 2

= -5^x + 3x - 2.

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Write the equation g(x) of the transformation of the parent graph f(x) = |x| stretched vertically by a factor of 2, reflected ov
Otrada [13]

Answer:

g(x) = -2|x+1| -3

Step-by-step explanation:

f(x) = |x|

y = f(x) + C C < 0 moves it down

y = |x| -3  for  shifting down 3

y = f(x + C) C > 0 moves it left

y = |x+1| -3 for move it left 1

y = Cf(x)  C > 1 stretches it in the y-direction

y = 2|x+1| -3 to stretch it 2 vertically

y = −f(x)  Reflects it about x-axis

y = -2|x+1| -3

7 0
3 years ago
Read 2 more answers
PLZ ANSWER THIS ASAP!! The Skywheel has 41 glass enclosed gondolas. What is the measure of each central angle between gondola ca
Aleks04 [339]

Answer:

8.78

Step-by-step explanation:

Given

n = 41

Required

The measure of central angle

Assume the gondolas are equally spaced, the central angle between each is:

Angle = 360\° \div n

Substitute 41 for n

Angle = 360\° \div 41

Angle = 8.78 ----- approximately

3 0
3 years ago
What composition forms the equation p(x) when given the functions for h(x), f(x), k(x), and g(x)? PLEASE HELP!!!!! thank you!!!!
Flura [38]

Answer:  Choice B.  k(h(g(f(x))))

For choice B, the functions are k, h, g, f going from left to right.

===========================================================

Explanation:

We have 4x involved, so we'll need f(x)

This 4x term is inside a cubic, so we'll need g(x) as well.

So far we have

g(x) = x^3

g( f(x) ) = ( f(x) )^3

g( f(x) ) = ( 4x )^3

Then note how we are dividing that result by 2. That's the same as applying the h(x) function

h(x) = \frac{x}{2}\\\\h(g(f(x))) = \frac{g(f(x))}{2}\\\\h(g(f(x))) = \frac{(4x)^3}{2}\\\\

And finally, we subtract 1 from this, but that's the same as using k(x)

k(x) = x-1\\\\k(h(g(f(x)))) = h(g(f(x)))-1\\\\k(h(g(f(x)))) = \frac{(4x)^3}{2}-1\\\\

This leads to the answer choice B.

To be honest, this notation is a mess considering how many function compositions are going on. It's very easy to get lost. I recommend carefully stepping through the problem and building it up in the way I've done above, or in a similar fashion. The idea is to start from the inside and work your way out. Keep in mind that PEMDAS plays a role.

6 0
2 years ago
PLEASE HELP AS SOON AS POSSIBLE
const2013 [10]

Endurance is the code word.

4 0
3 years ago
Which of the following is a proportion?
puteri [66]

Answer:

the second one

Step-by-step explanation:

8 0
3 years ago
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