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
Stolb23 [73]
3 years ago
6

Assume that f is a one-to-one function. (a) if f(1) = 12, what is f −1(12)

Mathematics
2 answers:
Naya [18.7K]3 years ago
7 0
As it is one-to-one function,<span> f −1(12) = 1</span>
viktelen [127]3 years ago
6 0
F-1(x)  is the inverse of f(x)

The domain of f(x) = range of f(-1)x  and vice-versa.

So f-1(12)  = 1.
You might be interested in
Find a cartesian equation for the curve and identify it. r = 10 tan(θ) sec(θ)
Vilka [71]
For a cartesian equation
x=r\cos\theta \ and \ y=r\sin\theta \\  \\ \cos\theta=\frac{x}{r} \ and \ \sin\theta=\frac{y}{r} \\  \\ \tan\theta=\frac{\sin\theta}{\cos\theta}=\frac{y}{r}\cdot\frac{r}{x}=\frac{y}{x} \\  \\ \sec\theta=\frac{1}{\cos\theta}=\frac{r}{x}

Given r = <span>10 tan(θ) sec(θ)
r=10\tan\theta\sec\theta=10\cdot\frac{y}{x}\cdot\frac{r}{x} \\  \\ \Rightarrow10y=x^2 \\  \\ \Rightarrow y= \frac{1}{10} x^2

Therefore,</span>the curve is a parabola opening upward with vertex (0, 0).
3 0
3 years ago
If you shift the linear parent function, f(x) = x, down 6 units, what is the equation of the new function?
Colt1911 [192]

Answer:

f(x)=x-6

Step-by-step explanation:

Given : Parent function : f(x)=x

To Find : If you shift the linear parent function, f(x) = x, down 6 units, what is the equation of the new function?

Solution:

Parent function : f(x)=x

Shift the given function down by 6 units.

Rule : The graph f(x) shifts down by b units

So, f(x)→f(x)-b

So, Shift the given function down by 6 units.

So, f(x)→f(x)-6

f(x)=x

So, x→x-6

So, the new function is f(x)=x-6

6 0
3 years ago
The distance traveled by a car at a constant rate is proportional to the time spent driving. In the equation d = 45t, d represen
OverLord2011 [107]
The constant of proportionality should be 45 miles per hour, and the car should travel 135 miles in three hours.
8 0
3 years ago
Which of the following are solutions to the inequality below select all that apply
KIM [24]
<h3>Answer:  n = -11</h3>

The other choices are false, so choice C is the only solution here.

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

Explanation:

Draw a number line. You'll have 0 in the center, with positive values on the right. The positive values increase 1,2,3,4,... as you move from left to right.

The negative values will go in the opposite direction. When going from right to left, we have -1, -2, -3, -4, ...

See the diagram below.

Now plot an open hole at -7 on the number line. The open hole says that we exclude this value from the solution set. Then we shade everything to the left of the open circle. This visually describes all values smaller than -7. Something like -2 is not to the left of -7, meaning -2 < -7 is false. But a value like -10 is to the left of -7, making -10 < -7 true.

With that in mind, the answer is n = -11 since -11 is to the left of -7. Of the values in the answer choices, it's the only thing to the left of -7.

The value n = -7 cannot be the solution because n < -7 would become -7 < -7 which is false.

5 0
3 years ago
Match the equation with its corresponding solution for x. 4x + 7 = 35
lyudmila [28]
Are you wanting to solve for x? If so:
4x + 7 = 35
We want to isolate the variable, so subtract 7 from both sides.  You will get:
4x = 28
Now, divide each side by 4 to get X by alone. This will give you:
x = 7
I hope this helped.
8 0
3 years ago
Other questions:
  • Which expression is equivalent to the given expression? 17x−32x x(17−32) x(32−17) 17x(1−32) 17(x−32)
    7·2 answers
  • I need help with this
    6·1 answer
  • How to make 12 and half to a percent
    8·1 answer
  • RATIOS
    6·1 answer
  • Here is the region of integration of the integral Integral from negative 6 to 6 Integral from x squared to 36 Integral from 0 to
    6·1 answer
  • The sum of the length of any two sides of a triangle is greater than the length of the third side. And the abc, bc=4 and ac= 8-a
    8·1 answer
  • (-7/8+8/7)+a=0 what is the value of a
    9·1 answer
  • 51:14
    7·1 answer
  • How many sixths are in 2 5/6?
    11·1 answer
  • Susan wants to hire one of two mechanics to repair her car. Each mechanic charges a one-time fee in
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!