Rewrite the function f(x)=0.25(0.5)–3x in the form f(x)=a(b)x.
Question
Rewrite the function f(x)=0.25(0.5)–3x in the form f(x)=a(b)x.
Solution
The function f(x)=0.25(0.5)–3x can be rewritten as follows:
First, simplify the term 0.25(0.5). This equals 0.125.
So, the function becomes f(x) = 0.125 - 3x.
Next, we want to write this in the form f(x) = a(b)x.
In this form, 'a' is the coefficient of x and 'b' is the constant term.
However, in the given function, the constant term is 0.125 and the coefficient of x is -3.
So, we can rewrite the function as f(x) = -3(0.125 - x).
But this is not exactly in the form f(x) = a(b)x, because 'b' is not the coefficient of x.
So, we can't rewrite the function f(x)=0.25(0.5)–3x in the form f(x)=a(b)x.
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