Question

Write a linear function f with the values f(-1) = 5 and f(3) = 4.f(x)=

Answer 1

Step-by-step explanation:

We must first identify the values ​​given in the exercise.

F(x)=-1x=5 F(X)= 3x=4

`-1x=5\text{ ; 3x}=4`

since we have two equations with a variable that is x, in one equation we find the value of x.

the equation is as follows:

`\begin{gathered} (firstequation)\rightarrow-1x=5 \\ x=(5)/(-1) \\ x=-5 \\ (\text{second equation)}\rightarrow3x=4 \\ x=(4)/(3) \\ \end{gathered}`

Since an equation is a mathematical equality, substituting the answer for each equation in x gives us the corresponding result, which satisfies the equation as an equality.

`\begin{gathered} \text{first equation.} \\ -1x=5\text{ ;( x}=-5) \\ -1(-5)=5 \\ \text{Second equation:} \\ 3x=4;\text{ x}=(4)/(3) \\ 3((4)/(3))=4^{}^{} \\ or\text{ 3}(1.33)=4 \end{gathered}`