Question

Use the functions f(x)= 3x-4 and g(x)= x^2-2 to answer the following questions

a) complete the table
x l f(x)
______
-3 l
______
-1 l
______
0 l
______
2 l
______
5 l
______



x l g(x)
______
-3 l
______
-1 l
______
0 l
______
2 l
______
5 l
______

b) for what value of the domain (-3, -1, 0, 2, 5) does f(x)= g(x)

answer:

Answer 1

Explanation:

a.

`f(x)=3x-4\\\\\text{Put the values of x from table to the equation of}\ f(x):\\\\f(-3)=(3)(-3)-4=-9-4=-13\\f(-1)=(3)(-1)-4=-3-4=-7\\f(0)=(3)(0)-4=0-4=-4\\f(2)=(3)(2)-4=6-4=2\\f(5)=(3)(5)-4=15-4=11\\\\\begin{array}cx&f(x)\\-3&-13\\-1&-7\\0&-4\\\bold{2}&\bold{2}\\5&11\end{array}`

`g(x)=x^2-2\\\\g(-3)=(-3)^2-2=9-2=7\\g(-1)=(-1)^2-2=1-2=-1\\g(0)=0^2-2=0-2=-2\\g(2)=2^2-2=4-2=2\\g(5)=5^2-2=25-2=23\\\\\begin{array}cx&g(x)\\-3&7\\-1&-1\\0&-2\\\bold{2}&\bold{2}\\5&23\end{array}`

b.

f(x) = g(x) for x = 2 (look at the tables)