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
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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 .