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F(x)= (5x+1/-x+7), x≠7
I need the inverse

1 Answer

5 votes

Explanation:

f(x)=5x+17�(�)=5�+17

Write f(x)=5x+17�(�)=5�+17 as an equation.

y=5x+17�=5�+17

Interchange the variables.

x=5y+17�=5�+17

Solve for y�.

y=7x5−15�=7�5-15

Replace y� with f−1(x)�-1(�) to show the final answer.

f−1(x)=7x5−15�-1(�)=7�5-15

Verify if f−1(x)=7x5−15�-1(�)=7�5-15 is the inverse of f(x)=5x+17�(�)=5�+17.

f−1(x)=7x5−15�-1(�)=7�5-15

User Josh Bodah
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