3 years ago

In this composite function, (g◦f)(x) where f(x)=(X-3) and g(x)=X^2 what is (g◦f)(x) when x=1?

Mathematics

2 answers:

Darya [45]3 years ago

8 0

The answer is (Gof)(1)=2

almond37 [142]3 years ago

4 0

The answer would be b

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Work out the percentage to change to decimal places when a price of 200 is increased to 210.99

olya-2409 [2.1K]

Answer:

105.495%

Step-by-step explanation:

210.99/200=1.05495

200 * 1.05495 = 210.99

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3 years ago

Sketch the graph of the function f(x) = -(x-4)^3 by indicating how a more basic function has been shifted, reflected, stretched,

irina [24]

Step-by-step explanation:

In the attached images we can see the rigid transformation of the function $f(x) =x^{3}$

1. The basic graph $f(x) =x^{3}$

2. The reflected graph $f(x) = -x^{3}$

3. The displaced graph $f(x) = -(x-4)^{3}$

Reflection: In the expression $f(x) = -(x-4)^{3}$ , the sign - before the parenthesis indicates that the function is reflected in the x axis, for this case the function is even, this means that -f(x) = f(-x) , then the reflection on the x axis is equal to the reflection on the y axis.

Displacement: We observe the term (x-4) of the function $f(x) = -(x-4)^{3}$ and analyze the value -4, where, the sign - indicates displacement to the right and the value 4 indicates the amount that the graph shifted .