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3 years ago

Question 1 (1 point)

Mathematics

1 answer:

ruslelena [56]3 years ago

7 0

You’re answer is A for that question

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Ghella [55]

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)

Find the slope of the linear function

$m=(0-6)/(6-0)\\m=-1$

Find the the equation of the linear function in slope intercept form

$f(x)=mx+b$

we have

$m=-1$

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substitute

$f(x)=-x+6$

step 2

Find the inverse of the function f(x)

Let

y=f(x)

$y=-x+6$

Exchange the variables (x for y and y for x)

$x=-y+6$

Isolate the variable y

$y=-x+6$

Let

$f^{-1}(x)=y$

$f^{-1}(x)=-x+6$

$f^{-1}(x)=f(x)$

In this problem the graph of the inverse function is the same that the graph of the original function

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3 years ago