1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
shtirl [24]
10 months ago
15

If the range of the function y = f(x) is {y | y ≥ 11, y ∈ R}, then the range of the new function g(x) = f(x + 2) - 3 is

Mathematics
1 answer:
mafiozo [28]10 months ago
3 0

Answer:

y ≥ 8

Explanation:

Note that if f(x) is transformed into f(x + a) - b

The original functions is shifted a units to the left and b units downward.

Horizontal shifting will not affect the range of the function, only vertical shifting will change its range.

From the given, g(x) is the transformation of f(x) with

g(x)=f(x+2)-3_{}

f(x) is shifted 2 units to the left and 3 units downward, we will disregard the horizontal shifting.

Since f(x) has a range of y ≥ 11, and g(x) is 3 units downward, the range will also move 3 units downward.

y ≥ 11 - 3

The answer is y ≥ 8

You might be interested in
a full container of juice 64 fluid ounces.how many 7 fluid ounces serving of juice are in a full containet?
saul85 [17]
To find the amount of 7 fluid ounce servings in this container, divide 64 by 7 to get the answer of about 9.14 (rounded to the nearest one hundredth). So 9 full servings and an additional .142857... ounces as well.

Hope this helps!

5 0
3 years ago
Read 2 more answers
The standard form of a linear equation is Ax + By = C. Rewrite this equation in slope-slope-intercept form. What is the slope? W
myrzilka [38]
Standard form is Ax + By = C, or By = C - Ax.

Dividing both sides by B, we get y = C/B - (A/B)x

Here the y intercept is C/B, and the slope is -A/B.


4 0
3 years ago
9x-11=6x-3+x please help
erastova [34]
X=4 ..................
5 0
3 years ago
Read 2 more answers
The lines shown below are perpendicular. If the green line has a slope of a
Georgia [21]

Answer:

-4/3

Step-by-step explanation:

  • since the both lines are perpendicular the  product of their slopes equals -1
  • let m be the slope of the red line
  • m*a = -1
  • m = -1/a
  • a = (8-5)/(0-(-4)) = 3/4
  • so m = -4/3

6 0
3 years ago
When you look at the two cylinders with these values of rand h, what do you notice about the proportions of the cylinders?
Klio2033 [76]

Answer:

One of the cylinders is short and wide, while the other is tall and thin.

Step-by-step explanation:

7 0
3 years ago
Other questions:
  • It took 5 hours to mow 4 lawns. At that rate, how long would it take to mow 7 lawns?
    5·1 answer
  • Use matrix addition to solve this equation:
    5·1 answer
  • Order these from least to greatest:<br><br> |–15|, |4|, –|15|, |–5|
    15·2 answers
  • Divide c by 3 then subtract 6 from the result
    11·1 answer
  • Trig Please help
    6·1 answer
  • A parallelogram has an interior angle measuring 81º. Which MUST also be the measure of an interior angle of the
    5·1 answer
  • Brian wants to buy a motorcycle and is planning to get motorcycle insurance. Suppose the average accident rate is 0.1 and the av
    15·1 answer
  • the perimeter of a rectangular garden is 96m. The length of the garden is 8 more than the width. Find the length and width of th
    7·1 answer
  • Anthony went out to eat dinner, and the meal cost $50.00. If Anthony received a 15% discount, what was the total value of the di
    6·1 answer
  • Select the correct answer. What is the solution for p in the equation?
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!