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Grace [21]
3 years ago
13

Consider the graph of function f Which is the graph of the function g(x) = f(−x)?

Mathematics
1 answer:
yawa3891 [41]3 years ago
5 0

Answer:  

f(-x) is a reflection of f(x) in the y-axis

Step-by-step explanation:

–f (x) reflects the function in the x-axis (that is, upside-down). f (–x) reflects the function in the y-axis (that is, swapping the left and right sides).

You might be interested in
Perform the indicated operations(7n^2 - 6) - (6n^2 + 9) - (7n + 6)
DerKrebs [107]

Answer:

n²-7n-21

Explanation:

Given the expression:

\mleft(7n^2-6\mright)-(6n^2+9)-(7n+6)

First, open the brackets:

=7n^2-6-6n^2-9-7n-6

Next, bring the like terms together and simplify:

\begin{gathered} =7n^2-6n^2-7n-6-9-6 \\ =n^2-7n-21 \end{gathered}

5 0
1 year ago
What is the equation of the inverse function A(n)=3n-20
Allisa [31]

Answer:

A^{-1}(n)=\frac{1}{3}n+\frac{20}{3}

Step-by-step explanation:

First, let's change those variables to x and y, just for the sake of convenience.  In order to find the inverse of a function algebraically, switch the x and y coordinates, then solve for the new y.  Letting y = A(n) and x = n (we will switch them back when we're done):

y = 3x - 20.  This is linear; a line with a slope of 3 and a y-intercept of -20.  When we switch the x and the y, we get:

x = 3y - 20.  Now we solve for the new y.  Begin by adding 20 to both sides:

x + 20 = 3y.  Now divide both sides by 3:

\frac{x+20}{3}=y, or to write it in slope-intercept form, like the function you started with:

y=\frac{1}{3}x+\frac{20}{3}

This is also a line, with a slope of 1/3 and a y-intercept of +20/3

Now, replacing:

A^{-1}(n)=\frac{1}{3}n+\frac{20}{3}

That is how to write the inverse using function notation.  The little -1 as an exponent tells us that this is the inverse of the function A(n).

5 0
3 years ago
Without shipping costs, a helmet costs $56.48 from a particular online dealer. If Jordan paid $61.11 for the helmet, including s
lubasha [3.4K]

Answer:

Step-by-step explanation

61

-56

=5

4 0
1 year ago
The width of a rectangle is two cm less than 8 times the length. The perimeter is 88 cm. What is the width and length of the rec
kati45 [8]

Let's the length to be x,

then the width is 8x - 2.

Perimeter of a rectangle = 2*Width + 2*Length

Perimeter of the rectangle = 2(8x-2) + 2x = 16x - 4 + 2x = 18x - 4

Ar the same time, Perimeter of the rectangle = 88.

So, we can write

18x - 4 = 88

18x = 84

9x=42

x= 42/9 cm (length) or ≈ 4.67 cm (length)

8x - 2 = 8*42/9 - 2 ≈ 35.33 cm (width)


6 0
3 years ago
Marcus borrowed 9000 from his bank to buy a car. The bank charged him a simple interest rate of 1.25%. By the time he paid back
snow_lady [41]

Answer:

2.5 years

Step-by-step explanation:

Given data

P=9000

r= 1.25%

A= 9281.25

The simple interest expression is given as

A=P(1+rt)

substitute

9281.25= 9000(1+0.0125*t)

9281.25=9000+112.5t

collect like terms

9281.25-9000=112.5t

281.25= 112.5t

t= 281.25/112.5

t= 2.5

Hence the time is 2.5 years

7 0
3 years ago
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