Question

The table below shows some values of f(x) and g(x) for different values of x: x f(x) = 2x + 24 g(x) = 5(0.5)x −2 20 −1 0 5 1 2.5 2 28 complete the chart and determine the solution of the equation f(x) = g(x). a x = −2 b x = −1 c x = 1 d x = 20

Answer 1

for $x=-2$

$f(-2) = 2(-2) + 24 = -4 + 24 = 20$
$g(-2)=5 (0.5)^{-2}=20$

for $x=-1$

$f(-1)=2(-1)+24=22$
$g(-1)=5 (0.5)^{-1} =10$

for $x=0$

$f(0)=2(0)+24=24$
$g(0)=5 (0.5)^{0}=5$

for $x=1$

$f(1)=2(1)+24=26$
$g(1)=5 (0.5)^{1}=2.5$

If we continue to substitute the value of x, we'll find that f(x) will increase with the constant rate of 2 for every x, while g(x) will exponentially decrease. 

Notice that for the value of $x=-2$ we have $f(x)=g(x)$ hence, the answer is A

Answer 2

Answer:

answer is A

Step-by-step explanation: