F(g(2) means to evaluate the g function for 2 then the result becomes the input for the f function.
g(2)= 5(2) - 6 = 10 - 6 = 4
f(4) = 4^(3/2) = (sqrt(4))^2 = 8
The answer is 8
Answer:
The intersection is 
.
The Problem:
What is the intersection point of 
and 
?
Step-by-step explanation:
To find the intersection of and , we will need to find when they have a common point; when their 
and 
are the same.
Let's start with setting the 's equal to find those 's for which the 's are the same.
By power rule:
Since 
implies 
:
Squaring both sides to get rid of the fraction exponent:
This is a quadratic equation.
Subtract 
on both sides:
Comparing this to 
we see the following:
Let's plug them into the quadratic formula:
So we have the solutions to the quadratic equation are:
or 
.
The second solution definitely gives at least one of the logarithm equation problems.
Example: 
has problems when 
and so the second solution is a problem.
So the where the equations intersect is at .
Let's find the -coordinate.
You may use either equation.
I choose .
The intersection is .
The inverse relation of the function f(x)=1/3x*2-3x+5 is f-1(x) = 9/2 + √(3x + 21/4)
<h3>How to determine the inverse relation?</h3>
The function is given as
f(x)=1/3x^2-3x+5
Start by rewriting the function in vertex form
f(x) = 1/3(x - 9/2)^2 -7/4
Rewrite the function as
y = 1/3(x - 9/2)^2 -7/4
Swap x and y
x = 1/3(y - 9/2)^2 -7/4
Add 7/4 to both sides
x + 7/4= 1/3(y - 9/2)^2
Multiply by 3
3x + 21/4= (y - 9/2)^2
Take the square roots
y - 9/2 = √(3x + 21/4)
This gives
y = 9/2 + √(3x + 21/4)
Hence, the inverse relation of the function f(x)=1/3x*2-3x+5 is f-1(x) = 9/2 + √(3x + 21/4)
Read more about inverse functions at:
brainly.com/question/14391067
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Put this into an equation. Make the missing value "x".
6x - 5 = 49
49 + 5 = 54
54 / 6 = 9
x = 9.
The missing number is 9.
Hope This Helps You!
Good Luck Studying :)
i don’t know for sure but i just figured it out....
