Which of these statements is true for f(x)=5*(6)^x?
1 answer:
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Answer:
The graph of the inverse function is the same that the graph of the original function
Step-by-step explanation:
step 1
Find the equation of the function in the graph
Let
f(x) ---> the function in the graph
we know that
Is a linear function
take the points (0,6) and (6,0)
<em>Find the slope of the linear function</em>
<em>Find the the equation of the linear function in slope intercept form</em>
we have
---> the y-intercept is given
substitute
step 2
Find the inverse of the function f(x)
Let
y=f(x)
<em>Exchange the variables (x for y and y for x)</em>
Isolate the variable y
Let
In this problem the graph of the inverse function is the same that the graph of the original function