The equation of the function g(x) by the horizontal compression of function f is [tex]g(x) = 7^{\frac 13x} + 1[/tex]
The given parameters are:
[tex]f(x) = 7^x + 1[/tex]
The horizontal compression of the function g is given as:
k = 1/3
This means that:
[tex]g(x) = f(kx)[/tex]
So, we have:
[tex]g(x) = f(\frac 13x)[/tex]
Calculate f(1/3x)
[tex]f(\frac 13x) = 7^{\frac 13x} + 1[/tex]
So, we have:
[tex]g(x) = 7^{\frac 13x} + 1[/tex]
Hence, the equation of the function g(x) is [tex]g(x) = 7^{\frac 13x} + 1[/tex]
Read more about function transformation at:
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