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
jeka57 [31]
3 years ago
6

Pls help; use inverse operations to write the inverse of F(x)= x/4 - 5

Mathematics
2 answers:
Arte-miy333 [17]3 years ago
5 0

Answer:

f^{-1}(x)=4(x+5)

Step-by-step explanation:

So we have the function:

f(x)=\frac{x}{4}-5

To find the inverse of a function, switch f(x) and x, change f(x) to f⁻¹(x), and solve for it. Thus:

x=\frac{f^{-1}(x)}{4}-5

Add 5 to both sides:

x+5=\frac{f^{-1}(x)}{4}

Multiply both sides by 4:

f^{-1}(x)=4(x+5)

And we're done!

Hope this helps!

Levart [38]3 years ago
4 0

Answer:

\huge \boxed{F^{-1}(x)=4(x+5)}

\rule[225]{225}{2}

Step-by-step explanation:

\displaystyle F(x)= \frac{x}{4} - 5

\displaystyle y= \frac{x}{4} - 5

Switching variables,

\displaystyle x= \frac{y}{4} - 5

Solving for y,

\displaystyle x+5= \frac{y}{4}

4(x+5)=y

\rule[225]{225}{2}

You might be interested in
What the the opposite of - 4.1 ?
sdas [7]
The opposite of -4.1 would be 4.1
6 0
3 years ago
Read 2 more answers
Jolly had some burgers. he ate two burgers and then he divided the remaining burger amongst his friends. he has five friends. ev
dexar [7]
Jolly had 12 burgers from the start.

if his five friends ate 2, you'd multiply that and get 10, then you add how many Jolly ate, which is 12.
8 0
3 years ago
Read 2 more answers
the length of a rectangle is increased by 15% while its perpendicular height is decreased by 15%. determine, if any, the percent
djverab [1.8K]

No change in area if sides of rectangle are equal.

Hope this helps.

8 0
3 years ago
The sum of twice a number and 9 is 43
Irina-Kira [14]
2x + 9 = 43 This is the equation.
2x = 34 Subtract 9 from both sides.
x = 17 Divide both sides by 2.
6 0
3 years ago
Work out the y-intercept of the line going<br> through (1, 2) with a gradient of 3
Tasya [4]

I think we need a coordinate grid for that,,

4 0
3 years ago
Read 2 more answers
Other questions:
  • At a college, 7 out of 10 students work either a full-time or a part-time job in addition to their studies. If 4900 students wer
    5·1 answer
  • Based on experimental data, the function T(x) = -3(x − 4)3 + 10 models the temperature of a special substance after being placed
    6·1 answer
  • How is the area of a sail related to the weight of the pilot on a hang glider?
    13·2 answers
  • You withdraw $40 each month from your savings account. Write an expression and evaluate that represents the change in your balan
    7·1 answer
  • Staples, a chain of large office supply stores, sells a line of desktop and laptop computers. Company executives want to know wh
    15·1 answer
  • If the zeros of a polynomial function are 3 and -4, using the Factor Theorem how would we express the factors of the function? *
    11·1 answer
  • 1)
    14·1 answer
  • Point-Slope Form of a Line
    10·1 answer
  • Mrs. Dern's class is preparing to write reports on the United States. Students must draw from a box the state that they will be
    10·1 answer
  • Help plz jjjanjnasjjasd
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!