Respuesta :
Answer:
Part 1) see the explanation
Part 2) [tex]x=2[/tex]
Step-by-step explanation:
Part 1) we have
[tex]f(x)=9x+7[/tex]
Find the value of f(x) for different values of x
For x=-2 ---> [tex]f(-2)=9(-2)+7[/tex] ---> [tex]f(-2)=-11[/tex]
For x=-1 ---> [tex]f(-1)=9(-1)+7[/tex] ---> [tex]f(-1)=-2[/tex]
For x=0 ---> [tex]f(0)=9(0)+7[/tex] ---> [tex]f(0)=7[/tex]
For x=1 ---> [tex]f(1)=9(1)+7[/tex] ---> [tex]f(1)=16[/tex]
For x=2 ---> [tex]f(2)=9(2)+7[/tex] ---> [tex]f(2)=25[/tex]
[tex]g(x)=5^x[/tex]
For x=-2 ---> [tex]g(-2)=5^{-2}[/tex] ----> [tex]g(-2)=1/25[/tex]
For x=-1 ---> [tex]g(-1)=5^{-1}[/tex] ----> [tex]g(-1)=1/5[/tex]
For x=0 ---> [tex]g(0)=5^{0}[/tex] ----> [tex]g(0)=1[/tex]
For x=1 ---> [tex]g(1)=5^{-1}[/tex] ----> [tex]g(1)=5[/tex]
For x=2 ---> [tex]g(2)=5^{2}[/tex] ----> [tex]g(2)=25[/tex]
Part 2) determine the solution of the equation f(x) = g(x)
[tex]f(x)=9x+7[/tex]
[tex]g(x)=5^x[/tex]
equate f(x) and g(x)
[tex]9x+7=5^x[/tex]
Remember that
For x=2
[tex]f(2)=25\\g(2)=25[/tex]
therefore
x=2 is a solution of the system of equations
Answer:
C) x=2
Step-by-step explanation:
i got it right on my test in flvs :)