Pergunta

Kwon Hawkins A linear function passes through point (4,5) Which statement must be true about the function?inverse? A The inverse is linear and must pass through point (4,5) B The inverse is linear and must pass through point (5,4) C The inverse is quadratic and must pass through point (4,5) D The inverse is quadratic and must pass through point (5,4) Kinston High 14TKK30967LN7 S NC Check-Ins 2.0 Math 3 A NC Check-In 2.0 A (Spring EOC)
Solução

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SérgioMestre · Tutor por 5 anos
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B
Explicação
## Step 1
The problem involves the concept of inverse functions. An inverse function is a function that undoes the operation of the original function. In other words, if the original function takes an input x and produces an output y, the inverse function takes the output y and produces the original input x.
## Step 2
The problem states that a linear function passes through the point (4,5). This means that when x = 4, y = 5.
## Step 3
The inverse of this function would swap the roles of x and y. This means that when x = 5, y = 4.
## Step 4
Therefore, the inverse function must pass through the point (5,4).
The problem involves the concept of inverse functions. An inverse function is a function that undoes the operation of the original function. In other words, if the original function takes an input x and produces an output y, the inverse function takes the output y and produces the original input x.
## Step 2
The problem states that a linear function passes through the point (4,5). This means that when x = 4, y = 5.
## Step 3
The inverse of this function would swap the roles of x and y. This means that when x = 5, y = 4.
## Step 4
Therefore, the inverse function must pass through the point (5,4).
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