Q:

The table shows values for functions f(x) and g(x).What is the solution to f(x)=g(x) ?Select each correct answer.x=−1x = 0x = 1x = 2x = 3x = 4x = 5

Accepted Solution

A:
Answer:The value of f(x) and g(x) are equal for x = 0 , 2 .Step-by-step explanation:As the function given  in the questions be .[tex]f(x)=2^{x}-4[/tex][tex]g(x)=\frac{3x}{2} -3[/tex]Put x = 0[tex]f(0)=2^{0}-4[/tex][tex]As\ 2^{0}=1[/tex][tex]f(0)=1-4[/tex]           = -3 [tex]g(0)=\frac{3\times 0}{2} -3[/tex]              = 0-3             = -3 Thus at x = 0 value of f(x)=g(x)= -3 .Put x = 2[tex]f(x)=2^{2}-4[/tex]As 2² = 4 [tex]f(x)=4-4[/tex]           = 0 [tex]g(2)=\frac{3\times 2}{2} -3[/tex]             = 3-3              = 0 Thus at x= 2 value of f(x)=g(x) = 0 .