Question

Using f(x)= log x, what is the x intercept of g(x)=log (x+4). use reasoning ​

Answer 1

The x-intercept of a function is the point where it crosses the x-axis.

The x-intercept of g(x)=log(x + 4) is -3

How to determine the x-intercept

We have:

f(x) = log(x)

Rewrite as:

y = log(x)

Apply  the exponent rule

$x = 10^y$

Set y to 0

$x = 1$

Given that f(x) is shifted 4 units left to get g(x).

The x-intercept of g(x) is then calculated as:

$x = 1 -4$

$x = -3$

Hence, the x-intercept of g(x)=log(x + 4) is -3

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