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
dusya [7]
2 years ago
7

F(x) = { x + 7 and g(x) = -x + 7 What transformation occurs from function f to function g?

Mathematics
1 answer:
Triss [41]2 years ago
5 0
<h3>Answer:  Reflect over the y axis</h3>

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

Explanation:

We have these two given functions

  • f(x) = x+7
  • g(x) = -x+7

The change is that the x has been replaced with -x

We can say

f(x) = x+7

f(-x) = -x+7 ... replace each x with -x

g(x) = f(-x)

g(x) = -x+7

When we replace x with -x, we're flipping the x inputs from positive to negative, and vice versa. This visually will reflect the line over the vertical y axis. A point like (1,8) on f(x) reflects over to (-1,8) on g(x).

As another example, the point (-5,2) on f(x) reflects over the y axis to arrive at (5,2) on the g(x) function.

You might be interested in
What weighs more than a ton
erica [24]
It is called a long ton which is 2,240 pounds where a ton is 2,000 pounds.\

3 0
3 years ago
What is answer to this its my home work
Elena L [17]
16 1/2 is the answer
7 0
3 years ago
Read 2 more answers
Choose the fractions that are greater than 1/2.
Gennadij [26K]
5/8
6/3
7/10
These are all the answers 4/8 is 1/2 and 5/8 is over it there is no half of 3 but 6/3 is 2 and 2 is a whole number it's over 1/2
5/10=1/2 and 7/10 is over it 1/4 isn't an answer because 2/4=1/2 6/12=1/2 but it says over 1/2 and finally 5/12 isn't it because like I said above 6/12 is 1/2
3 0
3 years ago
Please HELP ME PLEASE PLEASE ASAP ASAP please ASAP help please please !!
kobusy [5.1K]

Answer:

1) 360

2) 360

Step-by-step explanation:

here is the answer

5 0
3 years ago
Given f(x) = 4x^4 find f^-1(x) Then state whether f^-1(x) is a function.
sdas [7]

Answer:

  • f^{-1}(x)=\pm\sqrt[4]{\dfrac{x}{4}}
  • f^{-1}(x) \quad\text{is not a function}

Step-by-step explanation:

To find the inverse function, solve for y:

x=f(y)\\\\x=4y^4\\\\\dfrac{x}{4}=y^4\\\\\pm\sqrt[4]{\dfrac{x}{4}}=y\\\\f^{-1}(x)=\pm\sqrt[4]{\dfrac{x}{4}}

f(x) is an even function, so f(-x) = f(x). Then the inverse relation is double-valued: for any given y, there can be either of two x-values that will give that result.

___

A function is single-valued. That means any given domain value maps to exactly one range value. The test of this is the "vertical line test." If a vertical line intersects the graph in more than one point, then that x-value maps to more than one y-value.

The horizontal line test is similar. It is used to determine whether a function has an inverse function. If a horizontal line intersects the graph in more than one place, the inverse relation is not a function.

__

Since the inverse relation for the given f(x) maps every x to two y-values, it is not a function. You can also tell this by the fact that f(x) is an even function, so does not pass the horizontal line test. When f(x) doesn't pass the horizontal line test, f^-1(x) cannot pass the vertical line test.

_____

The attached graph shows the inverse relation (called f₁(x)). It also shows a vertical line intersecting that graph in more than one place.

5 0
2 years ago
Other questions:
  • Last year at this time we had 250 employees. Due to attrition , we lost 12% of our workforce. How many employees are working now
    7·2 answers
  • The number 5/9 is an example of a
    14·1 answer
  • What do you know to be true about the values of p and q?
    12·1 answer
  • (a) When 4 is added to three times of a number, the answer is the same as subtracting 2 from the number. What is the number?​
    13·1 answer
  • What grade should I take AP classes?
    12·2 answers
  • Which of these examples is an error of addition by one?
    6·1 answer
  • What type of angle is an 11° angle?<br> Can someone pls help
    12·2 answers
  • The base of a triangle is 4 cm greater than the
    14·1 answer
  • 39 BRAINLY POINTS PLEASE HELP.<br><br> SYSTEM OF INEQUALITIES.
    12·1 answer
  • Algebra 2 please help quickly
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!