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ICE Princess25 [194]
3 years ago
16

The function f(x) = 0.11(3)x is reflected over the x-axis to produce function g(x). Function g(x) is then reflected over the y-a

xis to produce function h(x). Which function represents h(x)?
a. h(x) = –0.11(3)x
b. h(x) = 0.11(3)–x
c. h(x) = 0.11(3)x
d. h(x) = –0.11(3)–x
Mathematics
2 answers:
netineya [11]3 years ago
6 0

the answer is:

D) h(x)= -0.11(3)-x

Hope, this helps

(E2020)

kozerog [31]3 years ago
3 0

Answer:

Option d is correct

h(x) = -0.11 \cdot (3)^{-x}

Step-by-step explanation:

Given the function:

f(x) = 0.11 \cdot 3^x

First find the function g(x) when f(x) is reflected over the x-axis.

The rule of reflection across x-axis is given by:

(x, y) \rightarrow (x, -y)

then;

Apply the rule of reflection across x-axis on f(x) we get,

g(x)=-0.11 \cdot (3)^{x}

Now, function g(x) is then reflected over the y-axis to produce function h(x).

The rule of reflection across y-axis is given by:

(x, y) \rightarrow (-x, y)

then;

Apply the rule of reflection across y-axis on g(x) we get,

h(x) = -0.11 \cdot (3)^{-x}

Therefore, h(x) = -0.11 \cdot (3)^{-x} function represents h(x)

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