There will be no effect of the x-intercepts if the function is transformed by g(x)=1/2f(x) so option (A) will be correct.
What is a function?
A certain kind of relationship called a function binds inputs to essentially one output.
In other words, the function is a relationship between variables, and the nature of the relationship defines the function for example y = sinx and y = x +6 like that.
A function can be regarded as a computer that gives output on an input basis of its nature.
Given a function f(x) has interception at x-axis
let's say it has interception at x = a then
f(x) = 0 at x =a
If we replace f(x) by 1/2 f(x) then the value of new function g(x)=1/2f(x) still remain 0 at x = a because
If f(x) = 0 than 1/2 [ f(x) ] will also 0 at x = a.
For more about the function
brainly.com/question/23712366,
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