Question

How to find the inverse of the function f(x) = 3x – 7?

a) f⁻¹(x)=x+7/ 3
b) f⁻¹ (x)= x−7/3
c) f⁻¹ (x)= 3/x−7
d) f⁻¹ (x)=3/ x+7

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Answer 1

To find the inverse of the function f(x) = 3x - 7, interchange x and y and solve for y.

Step-by-step explanation:

To find the inverse of the function f(x) = 3x - 7, we need to swap the x and y variables and solve for y.

First, we write the original function as y = 3x - 7.

Then, we interchange x and y to get x = 3y - 7.

Now, we solve this new equation for y:

x = 3y - 7

x + 7 = 3y

y = (x + 7)/3

Therefore, the inverse of the function f(x) = 3x - 7 is f⁻¹(x) = (x + 7)/3.