If f(x) = 3x – 5, what is the inverse of f?Question 4Select one:a.-3x + 5b.5x – 3c.x/3 + 5/3d.x/3 – 5/3e.None of these
Question
If f(x) = 3x – 5, what is the inverse of f?Question 4Select one:a.-3x + 5b.5x – 3c.x/3 + 5/3d.x/3 – 5/3e.None of these
Solution
To find the inverse of a function, we need to swap the roles of x and y and solve for y.
Given that f(x) = 3x - 5, let's replace f(x) with y:
y = 3x - 5
Now, let's swap x and y:
x = 3y - 5
Next, let's solve for y:
x + 5 = 3y
Divide both sides by 3:
(x + 5)/3 = y
So, the inverse of f(x) = 3x - 5 is y = (x + 5)/3.
Therefore, the correct answer is c. x/3 + 5/3.
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