Help me find the equation to go with this graph please i give brainlist
1 answer:
Answer:
Step-by-step explanation:
Step 1: The general equation of straight line is
y = mx + c
c = initial value
m = rate of change
Step 2: Initial value c = 20
Step 3: Rate of change
m =
Step 4: From the graph, pick two points
x1 = 0, y1 = 20
x2 = 4, y2 = 2
Step 5: By substitution, rate of change m =
m =
Step 6: Equation of the graph
y = mx + c
y = + 20
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Answer:
In this problem, we are given the following functions:
and its inverse function:
First of all, we want to calculate . This can be obtained by substituting
x = 2
into f(x). Doing so, we find:
Then we want to calculate . We can do it by substituting
x = 1
into . Doing so,
Then we want to calculate , which can be found by calculating f(2) and then using it as input for
We know that
f(2) = 1
Therefore,
Then we want to calculate , which can be calculated by plugging
x = -2
into . Doing so,
Then we want to calculate ; by substituting
x = 4
into f(x), we find
Finally, we want to find
We know already that
So we have: