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tiny-mole [99]
3 years ago
11

If f(x) = 5x, what is f–1(x)?

Mathematics
2 answers:
Gemiola [76]3 years ago
5 0

Answer:

The answer is C.

Step-by-step explanation:

<u>Step 1: Replace f(x) with y.</u>

     f(x)=5x >>>>> y=5x

<u>Step 2: Switch x and y.</u>

     y=5x >>>>> x=5y

<u>Step 3: Solve for y</u>

     x=5y >>>> y= x/5

Then you have to do the inverse of dividing by 5. Which is multipilying by 1/5. This leaves you with,

      y= 1/5x

<u>Step 4: Write in standard inverse notation (Replace y with f^-1(x))</u>

      f^-1(x)=1/5x  

Note: These steps work with ANY problem where you have to find the inverse function. I hope this helps :)

     

Ahat [919]3 years ago
4 0
To get the inverse of a function interchange
the x's with the y'x and solve for y, as follows:
y=5x-7


Interchange to get:
x=5y-7
Solve for y to get:
y=(1/5)x+(7/5)

so I think it might be c


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What is the equation of the line shown in the graph? (-3,1) (2,-4)
ki77a [65]

Answer:

x + y = -2

Step-by-step explanation:

The two primary equations to remember when dealing with graphing 2-variable equations are: ax + by = c (a & b are the x & y coefficients, respectively), and the other is y = mx + c (m = slope, x & y represent themselves). There is another equation to find the slope. If not already known, it's: ∆y/∆x {∆(aka Delta) = difference}. So, since that's all been established, we can proceed to calculate your question:

1) Find your slope: 1 - (-4) = 5 for your y-variable. And -3 - 2 = -5 for your x-variable. So your slope = 5/-5 = -1

2) Use the y = mx + c equation together with either set of (x,y) coordinates to get the equation 1 = (-1)(-3) + c. Which gives you c = -2

3) So, going back to the main equation to remember, the ax + by = c, use a one of your given sets of x,y coordinates and input your known values for x, y, & c to get: a(-3) + b(1) = (-2) and do the same with other set (these are just double-checks, coefficients are all equal to 1 anyways). So, you should arrive to the equation: x + y = -2

4 0
3 years ago
Helpp!! Thank you! Take care!!
alina1380 [7]

Answer:

B or $12.50

Step-by-step explanation:

To get the answer, you have to solve x from the equation 4.5x = 56.25

To solve, you have to divide 4.5 from each side, making the equation look like,

x = 12.5

Hope this helps!!

Plz let me know if I'm wrong...

7 0
3 years ago
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