The value of f(g(2)) is 2.
<h3>What is function?</h3>
An expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
The given table is
x f(x)
–6 1
–3 2
2 5
5 3
8 0
If the coordinates of a function f(x) is defined as (x,y)
then, the coordinates of inverse of f(x) is defined as (y,x).
f(g(y))= f(x) [ g(x)= (y,x)]
f(g(y))= y
So, If g(x) is the inverse of f(x), the f(g(y)) = y.
Also, we know g(x) is the inverse of f(x), then f(g(2)) = 2.
Learn more about this concept here:
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A part, share, or number in relative comparison to the whole. To be proportional means they are equal parts of the whole. In math, it would mean the same thing. A proportion is the named given to a statement where two ratios are equal.
Answer:
Given the function in the question
f(x) = |x-3| + 2
a) state the name of the function
Absolute value function
since it is similar to f(x) = |x|
b) identify the independent and dependent variable
x = independent variable (input variable)
f(x) or y = dependent variable (output variable)
The variable which we assign the value we call the independent variable, and the other variable is the dependent variable, since it value depends on the independent variable.
c) identify the rule
A function is an equation that has only one answer for y for every x.
d) evaluate the function
given x = -5
f(-5) = |-5 - 3| + 2
= |-8| + 2
= 8 +2
= 10
Answer:
94.92
Step-by-step explanation:
300*(75/100)^4=94.92