Question

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

Answer 1

Answer:

Part 1) see the explanation

Part 2) $x=2$

Step-by-step explanation:

Part 1) we have

$f(x)=9x+7$

Find the value of f(x) for different values of x

For x=-2 ---> $f(-2)=9(-2)+7$ ---> $f(-2)=-11$

For x=-1 ---> $f(-1)=9(-1)+7$ ---> $f(-1)=-2$

For x=0 ---> $f(0)=9(0)+7$ ---> $f(0)=7$

For x=1 ---> $f(1)=9(1)+7$ ---> $f(1)=16$

For x=2 ---> $f(2)=9(2)+7$ ---> $f(2)=25$

$g(x)=5^x$

For x=-2 ---> $g(-2)=5^{-2}$ ----> $g(-2)=1/25$

For x=-1 ---> $g(-1)=5^{-1}$ ----> $g(-1)=1/5$

For x=0 ---> $g(0)=5^{0}$ ----> $g(0)=1$

For x=1 ---> $g(1)=5^{-1}$ ----> $g(1)=5$

For x=2 ---> $g(2)=5^{2}$ ----> $g(2)=25$

Part 2) determine the solution of the equation f(x) = g(x)

$f(x)=9x+7$

$g(x)=5^x$

equate f(x) and g(x)

$9x+7=5^x$

Remember that

For x=2

$f(2)=25\\g(2)=25$

therefore

x=2 is a solution of the system of equations

Answer 2

Answer:

C) x=2

Step-by-step explanation:

i got it right on my test in flvs :)