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Elza [17]
2 years ago
14

Please help me Which of the following is the inverse of the function given below?

Mathematics
2 answers:
nadya68 [22]2 years ago
7 0

Answer:

Option A.

Step-by-step explanation:

The given function is

f(x)=\dfrac{x+2}{7}

Step 1: Substitute f(x)=y.

y=\dfrac{x+2}{7}

Step 2: Interchange x and y.

x=\dfrac{y+2}{7}

Step 3: Isolate y.

7x=y+2

7x-2=y

Step 4: Substitute y=f^{-1}(x)

7x-2=f^{-1}(x)

f^{-1}(x)=7x-2

The inverse of the given function is p=7x-2.

Therefore, the correct option is A.

gtnhenbr [62]2 years ago
4 0
The function is described by the rule f(x)= \frac{x+2}{7}.

The inverse function f^{-1} is such that f(f^{-1}(x))=x.

Thus, since f(x)= \frac{x+2}{7}, we have f(f^{-1}(x))=\frac{f^{-1}(x)+2}{7}.

Equating the two ways we expressed f(f^{-1}(x)), we have:

\displaystyle{ \frac{f^{-1}(x)+2}{7}=x.

Rearranging, we have: 

                                       
 \displaystyle{ f^{-1}(x)= 7x-2.



Answer: first choice: p(x)=7x-2
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