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uysha [10]
2 years ago
7

Given f(x) = 7xº, find f^-1 (x). Then state whether f^-1(x) is a function.

Mathematics
1 answer:
Slav-nsk [51]2 years ago
6 0

Answer:

a) (x/7)^1/9=y

Step-by-step explanation:

f(x) = 7x^9

x/7= 7y^9/7

(x/7)^1/9=(y^9)^1/9

(x/7)^1/9=y

f^-1(x) is a fuction because it passes the vl test

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Determine whether each table represents a linear, quadratic, exponential function.
Nesterboy [21]

Answer:

A: Exponential

B: Quadratic

C: Linear

Step-by-step explanation:

Let analyse each table

  • Table A

X            Y              ΔY/ΔX

1             5               xxxxxx              

2            11            11 - 5 = 6            

3           29             29 - 11 = 18          

4           83             83 - 29 = 54

.....................

We can see that, [ ΔY/ΔX ]   increases at the fastest rate out of all functions, so it must be exponential function

  • Table B

X            Y                 ΔY/ΔX            Δ^2Y/ΔX^2          

0             5                 xxxxxx              xxx              

1              7                 7 - 5 = 2            xxx            

2             13               13 - 7 = 6           6-2 = 4        

3             23              23 - 13 = 10       10-6 = 4

..............................

It is a quadratic because Δ^2Y/ΔX^2 = 4 and are constant for all values

  • Table C

X            Y                 ΔY/ΔX                      

3             20               xxxxxx                  

6             18                 2 / 3

9             16                 2 / 3                    

15            12                 2 / 3      

..............

It is a linear because ΔY/ΔX = 2/3 are constant for all values

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