Respuesta :

Answer:

[tex]g(x)=7^{\frac{x}{3}}+1[/tex]

Explanation:

The function f(x) is given as:

[tex]f(x)=7^x+1[/tex]

If a function, f(x) is horizontally compressed by a factor of k units, the transformation rule is:

[tex]f(x)\to f(kx)[/tex]

Therefore, if f(x) is transformed to g(x) through a horizontal compression by a factor of 1/3, the function g(x) is:

[tex]g(x)=7^{\frac{x}{3}}+1[/tex]