Question

Use the function f(x)=123x−2f(x)=123x−2 to answer the questions. A: What is f−1(x)f−1(x)? B: What should be done to find the value of xx that makes f(x)=0.75f(x)=0.75? C: For what value of xx does f(x)=0.75f(x)=0.75?

Answer 1

To find the inverse of the function f(x)=123x−2, substitute f(x) with y and solve for x. The value of the function f(x) that makes it equal to 0.75 is x = 2.75/123.

Step-by-step explanation:

To find the inverse of a function, we replace f(x) with y and solve for x. So, for function f(x) = 123x - 2:

A: To find f-1(x), we replace f(x) with y and solve for x: y = 123x - 2 becomes x = (y + 2) / 123.

B: To find the value of x that makes f(x) = 0.75, we substitute 0.75 for f(x) and solve for x: 0.75 = 123x - 2 becomes 123x = 2.75 and finally x = 2.75 / 123.

C: To find the value of x that makes f(x) = 0.75, we substitute 0.75 for f(x) and solve for x: 0.75 = 123x - 2 becomes 123x = 2.75 and finally x = 2.75 / 123.