The function f(x) = 7x 1 is transformed to function g through a horizontal compression by a factor of . what is the equation of

Question

3 years ago

7

function g? substitute a numerical value for k into the function equation.

1 answer:

sdas [7] · Answer 1 · 2023-01-22T15:07:27+03:00

The equation of the function g(x) by the horizontal compression of function f is $g(x) = 7^{\frac 13x} + 1$

<h3>How to determine the equation of function g?</h3>

The given parameters are:

$f(x) = 7^x + 1$

The horizontal compression of the function g is given as:

k = 1/3

This means that:

$g(x) = f(kx)$

So, we have:

$g(x) = f(\frac 13x)$

Calculate f(1/3x)

$f(\frac 13x) = 7^{\frac 13x} + 1$

So, we have:

$g(x) = 7^{\frac 13x} + 1$

Hence, the equation of the function g(x) is $g(x) = 7^{\frac 13x} + 1$

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