The table shows some values of f(x) and g(x) for different values of x:
x | f(x) = 9x + 7 | g(x) = 5x
−2 | −11 |
−1 | −2 |
0 | | 1
1 | |5
2 | |
Complete the chart and determine the solution of the equation f(x) = g(x).
x = −1
x = 0
x = 2
x = 25

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 :)

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