Answer: inverse of given function = log(x)/log(3)
Step-by-step explanation: how to find the inverse of any function?
in the complete function, replace y with "x" and x with "y"then, solve the obtained equation from step 2 for yand, then the value obtained for "y" is the inverse required i.e. = f^{-1}(x)
now, we solve the problem:
given : - y = 3^x
replacing the value of "y" with "x", we get,
x = 3^y
to solve for "y" we should take the "logarithm" for both sides
log (x) = y log(3)
or y = log(x)/log(3)
or f^(-1) (x) = log(x)/log(3)
( I hope this helped <3 )
Each person would get 7/3 cookies, or 2 1/3
The missing exponent must be x^2. In order for it to be in standard form it should be in descending order.
Hope this helps :-)
Answer:
B. (-9/2, -11/2)
Step-by-step explanation:
-12+3 / 2 = -9/2
-3+-8 / 2 = -11/2
The two numbers are 12 and 15
<em><u>Solution:</u></em>
Let the smaller number be "x"
Let the larger number be "y"
Given that,
<em><u>The sum of two numbers is 27</u></em>
Therefore, we frame a equation as:
Smaller number + Larger number = 27
x + y = 27 ------ eqn 1
<em><u>The larger number is 3 more than the smaller number</u></em>
Larger number = 3 + smaller number
y = 3 + x ------- eqn 2
<em><u>Let us solve eqn 1 and eqn 2</u></em>
<em><u>Substitute eqn 2 in eqn 1</u></em>
x + 3 + x = 27
2x + 3 = 27
2x = 27 - 3
2x = 24
<h3>x = 12</h3>
<em><u>Substitute x = 12 in eqn 2</u></em>
y = 3 + 12
<h3>y = 15</h3>
Thus the two numbers are 12 and 15