Find the range of f(x) = 5 - |x - 4|.

Answers

Answer 1

Answer:

Y is less than or equal to 5.

Answer 2

Answer:

Final answer:

The range of the absolute value function f(x) = 5 - |x - 4| is (-∞ , 5] because the function will always be less than or equal to 5, but there's no lower limit as the function will decrease indefinitely as |x - 4| increases.

Explanation:

The function given is f(x) = 5 - |x - 4|, which represents an absolute value function. The range of a function refers to the possible values of f(x) or y in the function. In general, the absolute value function has a range of all non-negative numbers. However, because the function is subtracted from 5, the values of this particular function will decrease as x moves away from 4, in either direction.

Therefore, the maximum value of the function occurs when the absolute value equals to zero (i.e., x = 4), then f(x) = 5 - 0 = 5. As you move away from 4, the absolute value increases and thus subtracts more from 5, making f(x) smaller. So, f(x) will always be less than or equal to 5, but there is no lower limit, as the function will continue to decrease indefinitely as |x - 4| increases. Hence the range of the function f(x) = 5 - |x - 4| is (-∞ , 5].

Learn more about Range of Function here:

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Need Geometry help... WILL AWARD BRAINLIEST!1. What is the value (ratio) of TAN A
A. 15/8
B.8/15
C. 15/17
D.8/17

2. What is the value ratio of COS A?
A. 15/8
B. 8/15
C. 15/17
D.8/17

3. What is the measure of angle A rounded to the nearest whole number?
A. 2 Degrees
B. 62 Degrees
C. 28 Degrees
D. 30 Degrees

4. What is the measure of ANGLE C rounded to the nearest whole number?
A. 47 Degrees
B. 2 Degrees
C. 28 Degrees
D. 30 Degrees

Answers

1. B
2. C
3. B
4. C
Hope this helps! :)

1. 15/8. I cannot solve the rest right now, yet I hope this helps.

F(x) = √6xg(x) = √24x
Find (f g)(x). Assume x ≥ 0.
OA. (f g)(x) = 72x
OB. (f.g)(x) = 12x
OC. (f.g)(x) = 12√√
OD. (f.g)(x) = √30x
Finds (f • g)(x) assume x >0
-

Answers

Answer:

$f(x) = √(6x)$

$g(x) = √(24x)$

$f(g(x)) = f( √(24x) ) = \sqrt{6 √(24x) } = √(6) \sqrt{ √(24) } \sqrt{ √(x) } = √(6) \sqrt{2 √(6) } \sqrt{ √(x) } =$

$√(12) \sqrt{ √(6x) }$

The correct answer is C.

$f(x)g(x) = √(6x) √(24x) = 12x$

Tai resized a photograph that was 8 inches by 10 inches so that it would fit on a 4 inch by 4 inch page. Find the maximum dimensions of the reduced photograph. An explanation wold be great, please. Thank you so much!

Answers

ok so it has to be max 4 inches when resized since the max size is 4 inches

10 is max of original so
they have to be shrunk in same ratio so find ratio of shrink
10 times ratio=4
divide both sides by 10
ratio=4/10=2/5
so multiply the measuremet by 2/5 to find new dimention

8 times 2/5=16/5=3 and 1/5=3.2

new dimentions is 4 by 3.2 inches

WILL CHOOSE YOUR ANSWER AS BRAINLIEST!!The height of a 0.5-liter orange juice box with a square base is a function of the width of its base,

$h=(500)/(w^2)$

where w is the width of the base in centimeters. Find the width of the juice box if its height is 20 centimeters.

w =_____cm