Enter the amplitude of the function f(x) . f(x)=3/4cos(3x)+4

The amplitude is

Step-by-step explanation:

Let f(x) be a sinusoid function that has the following format:

Then b is the amplitude of the function

h is the vertical displacement of the wave

s is the phase angle

is the period.

In this problem

Then

Therefore the amplitude of the function is

The amplitude is a measure of the vertical size of the sinx wave

ANSWER

EXPLANATION

The given function is

This function is of the form:

where |a| is the amplitude of the function.

Since

Hence, the amplitude of the given cosine function is ¾.

i can't solve unless i know what the line is

step-by-step explanation:

welcome to/p>

x = ±sqrt(10)

step-by-step explanation:

5 - 2x² = -15

subtract 5 from each side

5-5 - 2x² = -15-5

-2x^2   = -20

divide by -2 on each side

-2x^2   /-2= -20/-2

x^2 =10

take the square root on each side

sqrt(x^2 )=±sqrt(10)

x = ±sqrt(10)

check:

5 - 2x² = -15

+sqrt(10)

5 - 2(sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

-sqrt(10)

5 - 2(-sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15