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
prohojiy [21]
3 years ago
13

If the function m not-equals 0 has an inverse function, which statement must be true? B not-equals 0

Mathematics
2 answers:
pickupchik [31]3 years ago
8 0

Answer:

A

Step-by-step explanation:

edge 2021

Kipish [7]3 years ago
6 0

Answer:

Option a: m ≠ 0

Step-by-step explanation:

After a small online search, I've found that the complete question is:

If the function f(x) = m*x + b has an inverse function, which statement must be true?

a) m ≠ 0

b) m = 0

c) b ≠ 0

d) b = 0

Ok, if g(x) is an inverse of the function f(x), then:

g( f(x)) = x

f( g(x)) = x

Let's assume that f(x) = m*x + b  has an inverse, and this inverse function is g(x).

Because f(x) is linear, g(x) is also linear, then:

g(x) = n*x + c

Let's find the values of A and B.

We know that:

f( g(x)) = x =  m*(n*x + c) + b

then

x = m*n*x + m*c + b

Then we must have:

m*n = 1

(m*c + b)  = 0

From the first equation m*n = 1

We get:

n = 1/m

The slope of the inverse function is one over the slope of the original function.

Because m is on the denominator, m can not be equal to zero (because a division by zero is not defined)

Then the correct option is the option a, m ≠ 0.          

You might be interested in
Solve for x in this equation: 3/4+|5-x| = 13/4
omeli [17]

Answer: X =5/2, 15/2   x=2.5, 7.5

Step-by-step explanation:

6 0
3 years ago
Find the first five terms that correspond with the following expression.<br><br> 4n + 2
Lorico [155]

Answer:

6,10,14,18,22

Step-by-step explanation:

4n+2

Let n=1  4(1)+2 = 4+2 = 6

Let n=2  4(2)+2 = 8+2 = 10

Let n=3  4(3)+2 = 12+2 = 14

Let n=4  4(4)+2 = 16+2 = 18

Let n=5  4(5)+2 = 20+2 = 22

7 0
2 years ago
What is 7/4 as a mixed number
valentinak56 [21]
The answer to the question is 1 and 3/4
6 0
3 years ago
Read 2 more answers
HELP PLEASE!!!!!!!!!!!!
sleet_krkn [62]

Answer:

7 and 14

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
X+8=17 what is the value of x makes the sentece true​
melisa1 [442]

Answer:

x = 9

Step-by-step explanation:

Step 1: Write equation

x + 8 = 17

Step 2: Solve for <em>x</em>

  1. Subtract 8 on both sides: x = 9

Step 3: Check

<em>Plug in x to verify it's a solution.</em>

9 + 8 = 17

17 = 17

7 0
3 years ago
Other questions:
  • Choose the kind(s) of symmetry: point, line, plane, or none. 7
    6·2 answers
  • Least common multiples of 8 and 12
    5·2 answers
  • How to find missing angles​
    15·1 answer
  • Algebra 1
    13·1 answer
  • In a random sample of high school seniors, the proportion who use text messaging was 0.88. In a random sample of high school fre
    7·1 answer
  • Plsss answer it's very urgent ​
    10·2 answers
  • can someone please give the answers the these 2 questions, ignore the blue dot one the fist questions i clicked it by accident
    14·1 answer
  • Please help!!
    11·1 answer
  • Find geometric mean of 30 and 12
    15·1 answer
  • It takes 80 gallons of water to fill up a bathtub. how many pints of water is this?
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!