The function f (x) = 7x + 1 is transformed to function g through a horizontal compression by a factor of 1/3. What is the equation of function g?

Substitute a numerical value for k into the function equation.

g (x) = (7) kx

The correct question is;

The function f (x) = (7^x) + 1 is transformed to function g through a horizontal compression by a factor of 1/3. What is the equation of function g?

Substitute a numerical value for k into the function equation.

g (x) = 7^ (kx)

Answer:

Value of k = 1/3 if the function is compressed by compression factor of 1/3.

Step-by-step explanation:

In transformations, the horizontal stretch or compression for a function f (x) is given by g = f (bx) where:

b is a constant.

If b > 0, then the graph of function is compressed.

Now, from the question, we are told that the function is transformed by a compression factor of 1/3.

Function is; f (x) = (7^x) + 1

In transforming to g = f (bx), we have;

g = (7^ (x/3)) + 1

Since, we want to find k from the format g = 7^ (kx)

Comparing with g = (7^ (x/3)) + 1, we cans see that; k = 1/3