Answer:
108
Step-by-step explanation:
Limit as x approaches 9 of x^2 -81/sqrt of x - 3
First substitute x into the expression
= 9²-81/√9 - 3
= 81-81/3-3
= 0/0 (indeterminate)
Apply l'hospital rule
= lim x -> 9 d/dx(x²-81)/√x - 3
= lim x -> 9 2x/1/2√x
Substitute x = 9
= 2(9)/1/2√9
=18/1/(2(3)
=18 × 6/1
= 108
Hence the limit of the function is 108
We have to find the output values for the given input values of the function given as,
Here, x = Input value of the function
And f(x) = Output values
By substituting the input values of x as,
For x = -4,
f(-4) = -4(-4) - 5
= 16 - 5
= 11
For x = 1,
f(1) = -4(1) - 5
= -4 - 5
= -9
For x = 3,
f(4) = -4(3) - 5
= -17
For x = 11,
f(11) = -4(11) - 5
= -44 - 5
= -49
Therefore, Option (A) will represent the output values for the given input values.
Learn more,
brainly.com/question/4397150
To find the inverse of a function, firt we let
Now we switch x and y and solve for y .
Adding 25 to both sides
Now we need to get rid of square and for that we take square root on both sides. That is
Therefore, inverse is
Answer:
31
Step-by-step explanation:
2 + 4 = 6
6 + 12 = 18
18 - 12 = 6
6 + 21 = 27
27 + 14 = 41
41 - 10 = 31
