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Find the inverse of f(x) = -2x+5

The inverse is g(x) =
Graph the function and its inverse

Find the inverse of f(x) = -2x+5 The inverse is g(x) = Graph the function and its-example-1

1 Answer

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Given:

The function is:


f(x)=-2x+5

To find:

The inverse of the given function, then draw the graphs of function and its inverse.

Solution:

We have,


f(x)=-2x+5

Step 1: Substitute
f(x)=y .


y=-2x+5

Step 2: Interchange x and y.


x=-2y+5

Step 3: Isolate variable y.


2y=5-x


y=(5-x)/(2)

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


f^(-1)(x)=(5-x)/(2)

Therefore, the inverse of the given function is
f^(-1)(x)=(5-x)/(2) and the graphs of these functions are shown below.

Note: The inverse function is
f^(-1)(x)=g(x).

Find the inverse of f(x) = -2x+5 The inverse is g(x) = Graph the function and its-example-1
User Jauco
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