Respuesta :
Answer:
[tex]g(4a) = \frac{2}{4a + 3}[/tex]
Step-by-step explanation:
Given the function is [tex]g(t) = \frac{2}{t + 3}[/tex] ........... (1)
Now, we are given that [tex]g() = \frac{2}{4a + 3}[/tex] .......... (2)
Now, the left hand side of both the above equations (1) and (2) are similar and the only change is that t is replaced by 4a.
Therefore, the equation (2) can be written as
[tex]g(4a) = \frac{2}{4a + 3}[/tex] (Answer)
Since we know that if [tex]g(t) = \frac{2}{t + 3}[/tex] then [tex]g(k) = \frac{2}{k + 3}[/tex], where k is any real value.
The value will be 4a.
Expression
In mathematics, an expression is defined as a set of numbers and mathematical operations that is formed according to rules which is dependent on the context.
Given to us,
equation 1,
[tex]g(t) = \dfrac{2}{(t + 3)}[/tex]
equation 2,
[tex]g(\ \ ) = \dfrac{2}{(4a + 3)}[/tex]
Let's assume t=4a,
substituting the value of t in equation1, we get
[tex]g(t) = \dfrac{2}{(t + 3)}[/tex]
[tex]g(4a) = \dfrac{2}{(4a + 3)}[/tex]
As we can see we get equation 2 again, therefore, the value will be 4a.
Learn more about the expression:
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