Question

Describe and correct the error, given the functions f(x)=3x-5 and g(x)=1/3-4/3x1. g(-3)=1/3-4/3(3)=1/3-4=-3 2/32. f(1)=1/3-4/3(1)=1/3-4/3=-3/3= -1Show as much work possible please

Answer 1

we have the following:

`\begin{gathered} f\mleft(x\mright)=3x-5 \\ g\left(x\right)=(1)/(3)-(4)/(3)x \\ \end{gathered}`

therefore,

1.

`\begin{gathered} g\left(-3\right)=(1)/(3)-(4)/(3)\cdot(3) \\ g\left(-3\right)=(1)/(3)-4 \\ g\left(-3\right)=-3(2)/(3) \end{gathered}`

correct form: the value of x is -3 and not 3

`\begin{gathered} g\left(-3\right)=(1)/(3)-(4)/(3)\cdot(-3) \\ g\left(-3\right)=(1)/(3)-(-4) \\ g\left(-3\right)=(1)/(3)+4 \\ g\left(-3\right)=(1+12)/(3)=(13)/(3) \end{gathered}`

2.

`\begin{gathered} f\mleft(1\mright)=(1)/(3)-(4)/(3)\cdot(1) \\ f(1)=(1)/(3)-(4)/(3) \\ f(1)=-1 \end{gathered}`

correct form: It must be evaluated in the function f(x) = 3x -5, and not in the function g(x)

`\begin{gathered} f(1)=3\cdot(1)-5 \\ f(1)=3-5 \\ f(1)=-2 \end{gathered}`