We have been given a table of values of a function. We are asked to determine whether the given function is linear or nonlinear.
We know that a function is linear when its rate of change (slope) is constant.
Let us find slope for each of the given points using slope formula.
Similarly, we will find the slopes using other given coordinates.
Since the rate of change for each set of points is , so the rate of change is constant.
Therefore, the given function is linear.
Answer:
(g-f) (-1)= sqrt(15)
(f/g)(-1)= 0
(g+f)(2)=sqrt(3)-3
(g*f)(2)=-3*sqrt(3)
Step-by-step explanation:
We have to eval the expressions given in the point indicated.
Lets start by the first equation
(g-f)(-1)= g(-1) - f(-1)= =
Now, lest continue with the others
(f/g)(-1)= f(-1)/g(-1)= (1-1)/sqrt(15)=0
(g+f)(2)=g(2)+f(2)=sqrt(3)-3
(g*f)(2)=g(2)*f(2)=sqrt(3)*(-3)=-3sqrt(3)
Answer:
Step-by-step explanation:
Let John's age be x. This gives us that in 11 years, john's age will be 5 less than 5 times his current age. Therefore, we could get: . This is your second equation. Solving for x, we get 4x=16 so x=4.
