Question

The inverse of the function g(x)=x−65 can be written in the form g−1(x)=ax+b. What is the value of a?

Answer 1

9514 1404 393

Answer:

  a = 1

Step-by-step explanation:

The slope of the inverse of a linear function is the inverse of the slope of the original function.

The slope of g(x) is the coefficient of x: 1.

The inverse of 1 is 1/1 = 1.

The slope of the function g^-1(x) is 1, so a=1.

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Additional comment

  g^-1(x) = x +65 . . . . . a=1; b=65