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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

User Paul Filch
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2 Answers

5 votes

Answer:

answer is A

Explanation:


User Frisk
by
8.0k points
1 vote
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
User Mahala
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