Answer:
option (b) is correct
inverse of function
is 4x+3
Step-by-step explanation:
Given function 
We have to find the inverse of given function.
Let f(x) = y then taking inverse both sides, we get

Substitute , x and f(x) in given equation, we get,

Now solve for
, we get,


Thus, inverse of function
is 4x+3
Thus, option (b) is correct.
Answer:
x=-17
Step-by-step explanation:
The solution of the given equation can be all real numbers, except c = 0 and c = 3.
Lets simplify the given problem,
1/c-3 - 1/c = 3/ (c-3)
As the denominators cannot be equal to zero (0) because a division by zero (0) is undefined.
Next, we would multiply both sides of the given by the lowest common multiple (LCM).
The lowest common multiple (LCM) is c(c - 3).
c-[c-3] = 3
c-c+3 = 3
0 = 3-3
0=0
Therefore, the solution of the given equation can be all real numbers, except c = 0 and c = 3.
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Answer:
x => y
-6 => 9
3 => 5
15 => -3
-12 => 15
Step-by-step explanation:
Given the domain function, {-12, -6, 3, 15}, and the equation of the function,
, we can complete the given table by simply plugging in the value of either x to find y, or y to find x in the table given. The domain values are all x-values you have in the table.
Find y when x = -6:




Find x when y = 5:









Find y when x = 15:




Find x when y = 15:








