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 .
