Math  /  Algebra

QuestionFind the function g(x)g(x) that represents a horizontal stretch of f(x)=x+3f(x)=|x+3| by a factor of 4.

Studdy Solution
However, we need to be careful with the arithmetic inside the absolute value function. The +3+3 inside the absolute value function should be applied after the horizontal stretch, not before. So we need to distribute the x/x/ inside the absolute value function.
g(x)=(x+12)/g(x) = |(x+12)/|So, the function g(x)g(x) that represents a horizontal stretch by a factor of of the function f(x)=x+3f(x)=|x+3| is g(x)=(x+12)/g(x) = |(x+12)/|.

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