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
Alinara [238K]
3 years ago
11

Find an equation for this inverse.

Mathematics
2 answers:
Ket [755]3 years ago
8 0
Don you mean find its inverse function??
If so, then you can determine if a function has an inverse by passing the "horizontal line test."
This function does because it has a slope not equal to zero. Inverses of horizontal lines have vertical lines in them, which are not by definition functions.
So now, simply replace "f(x)" with "y", then switch the x and y, and solve for y:
y = 5x + 1
x = 5y + 1
-1 -1
5y = x - 1
÷5 ÷5
y = (x-1)/5
kicyunya [14]3 years ago
6 0
The easiest way to find the inverse of a function is to swap the x and y, meaning:

We have the function f(x)=5x+1. Let's call our outputs "y", so we have y=5x+1. To find the inverse, we're going to change the x and the y's position in the equation, so we have x=5y+1. Then all we need to do is solve for y:
x=5y+1
x-1=5y
\frac{x}{5}-\frac{1}{5}=y
f^{-1}(x)=y=\frac{x}{5}-\frac{1}{5}
You might be interested in
State whether the graph would be a circle, ellipse, parabola, or hyperbola.
Lubov Fominskaja [6]

Answer:

ellipse

Step-by-step explanation:

bc you should already know

7 0
3 years ago
How to reduce the fraction 10/63
mr_godi [17]
I'm pretty sure 10/63 is simplified.
6 0
3 years ago
Read 2 more answers
Which One Doesn't Belong?
igor_vitrenko [27]
Trapezoid because it’s the only shape that has only one pair of parallel lines
3 0
3 years ago
Cos s=-2/5 and sin t=4/5, s and t are in quadrant II<br> find cos(s+t) and cos(s-t)
mojhsa [17]

Answer:

•cos(s+t) = cos(s)cos(t) - sin(s)sin(t) = (-⅖).(-⅗) - (√21 /5).(⅘) = +6/25 - 4√21 /25 = (6-4√21)/25

•cos(s-t) = cos(s)cos(t) + sin(s)sin(t) = (-⅖).(-⅗) + (√21 /5).(⅘) = +6/25 + 4√21 /25 = (6+4√21)/25

cos(t) = ±√(1 - sin²(t)) → -√(1 - sin²(t)) = -√(1 - (⅘)²) = -⅗

sin(s) = ±√(1 - cos²(s)) → +√(1- cos²(s)) = +√(1 - (-⅖)²) = √21 /5

5 0
3 years ago
Claudia is on a motorcycle trip. She checked the odometer at the beginning of the trip, and it showed 16,789 miles. After 15 day
11Alexandr11 [23.1K]
22,189 - 16,789 = 5400....so she drove/rode 5400 miles in 15 days

5400/15 = 360 miles per day <==
5 0
3 years ago
Other questions:
  • A full grain silo empties at a constant rate. Write an expression to determine the amount after 5 seconds and make sure to be pr
    7·1 answer
  • Given a right triangle with AC=6 cm, AB=10 cm, find the length of BC. Show all your steps and calculations.
    7·1 answer
  • Two numbers are in ratio of 2 to3 if the smaller number is 18 the larger number is what
    15·2 answers
  • Identify whether each value of x is a discontinuity of the function by typing asymptote, hole, or neither. 5x/ x3 + 5x2 + 6x
    7·2 answers
  • Solve the equation x^2=26
    12·1 answer
  • 1. Which angles in the picture are NOT supplementary
    6·2 answers
  • Is this the answer someone help plz
    13·2 answers
  • What is the value of (3 + 2)2 - 5 * 3 +23?
    10·1 answer
  • HELPPPPPP ANSWER ASAP
    9·2 answers
  • Use doubling to calculate these<br><br>1.5×26​
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!