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
tensa zangetsu [6.8K]
3 years ago
11

If f(x-3)=x^2-4x+5, what's f(1-x)​

Mathematics
1 answer:
olganol [36]3 years ago
4 0

Answer:

\large\boxed{f(1-x)=x^2-4x+5}

Step-by-step explanation:

f(x-3)=x^2-4x+5\\\\f((x-3)+3)\to\text{put x + 3 to the equation of the function:}\\\\f(x-3+3)=(x+3)^2-4(x+3)+5\\\text{use the distributive property and}\ (a+b)^2=a^2+2ab+b^2\\f(x)=x^2+2(x)(3)+3^2+(-4)(x)+(-4)(3)+5\\f(x)=x^2+6x+9-4x-12+5\qquad\text{combine like terms}\\f(x)=x^2+(6x-4x)+(9-12+5)\\f(x)=x^2+2x+2\\\\f(1-x)\to\text{put 1 - x to the equation of the funtion f(x):}\\\\f(1-x)=(1-x)^2+2(1-x)+2\\\text{use the distributive property and}\ (a-b)^2=a^2-2ab+b^2

f(1-x)=1^2-2(1)(x)+x^2+(2)(1)+(2)(-x)+2\\f(1-x)=1-2x+x^2+2-2x+2\qquad\text{combine like terms}\\f(1-x)=x^2+(-2x-2x)+(1+2+2)\\f(1-x)=x^2-4x+5

You might be interested in
The box plot below describes a data set. Which of the following has a value of 18?
Aloiza [94]
What box plot are you talking about
8 0
3 years ago
Read 2 more answers
Wires are attached to a pole to make it more secure. The diagram shows one of those wires having a length of 220 feet. The angle
LuckyWell [14K]
The wire, the pole and the segment joining the leg of the pole to the wire in the ground form a right triangle whose hypotenuse is the wire, and the side opposite to the angle 36° is the pole.

By right triangle trigonometry, sin36°=(opposite side)/(hypotenuse.)

Substituting, we have 0.588=(opposite side)/220, thus the length of the opposite side, which represents the length of the pole, is 

                                       0.588*220 ft=129.3 ft
3 0
3 years ago
PLEASE HELP the information is below
liq [111]

Answer:

yellow: x=6

red: y=4

blue: y=-2

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
Find the principal which will yield simple interest of N55.60 for 1yr 6 months at the rate of 2%
Norma-Jean [14]

There should be a point the line is going through, (1,2).

We have given that,

N55.60 for 1yr 6 months at the rate of 2%

We have to determine the principal which will yield simple interest of N55.60 for 1yr 6 months at the rate of 2%.

<h3>What is the simple interest?</h3>

A = P (1 + rt)

A = final amount

P = initial principal balance

r = annual interest rate

t = time (in years)

x = inches

y = miles

per 1 inch = 2 miles

so on the graph, there should be a point the line is going through, (1,2).

To learn more about the simple interest visit:

brainly.com/question/2294792

#SPJ2

6 0
2 years ago
Help !Which of the following describes the function x4 − 3?
Pachacha [2.7K]
D. the degree of x4-3
7 0
3 years ago
Other questions:
  • Four friends own a car wash. The total profit in the first month was $438 . In two months, each of the friends had made a profit
    6·2 answers
  • ah i only need to know if its AND or OR! i already have the graphing done, if you could, please explain how you got AND/OR! than
    7·1 answer
  • Help answer question 3
    6·1 answer
  • What is the slope of a line paralle to a line with a slope of -5 /6​
    5·1 answer
  • Solve the equation -9x+1=-x+17​
    7·2 answers
  • A company will make a cereal box with whole number dimensions and a volume of 100 cubic centimeters. if carboard cost $0.05 per
    12·1 answer
  • OTHER QUESTION RAN OUT OF TIME
    13·1 answer
  • Question 7 of 10<br> Evaluate the expression and enter your answer below.<br> V64<br> v4
    14·2 answers
  • Robin counts by 7 to 70. how many off numbers does robin say ?
    9·1 answer
  • Please help me :,)<br><br>x=-2<br>x=-1<br>x=0<br>x=1<br>x=2​
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!