In two or more complete sentences describe how to determine if the function, f(x) =3cos(x) is even by looking at a graph

Mathematics

1 answer:

Papessa [141]3 years ago

7 0

Answer:

You know that a cosine graph is a sine graph moved to the left by pi/2, therefore, like a linear equation, you need to make the cosine graph 3 times less width.

Step-by-step explanation:

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SOLUTION OF TRIANGLE:

a i) use this formula, a² = b² + c² - 2bc cos A

a² = 8² + 10² - 2(8)(10) cos 60
= 84
a = 9.17 cm

UW = 9.17 cm

ii) use formula no 12 as attached :

sin
to solve this,

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press shift sin on ur calc & the answer is :

FUNCTION

a) f(x) = x-3
g(x) = x²-1

i) f(6) = 6-3

substitute x with the value given in the bracket into equation

f(6) = 6-3
= 3

ii) to do inverse function use this formula :

u = f(x)
u = x - 3

and then make x as the subject

x = u + 3

after that, just change u to x

f-1(x) = x + 3

iii) f [ g(2) ] = f [ g(-2) ] = 0

g(2) = (2)² - 1 g(-2) = (-2)² - 1

= 4 - 1 = 4 - 1
= 3 = 3

f(3) = 3-3
= 0