3 years ago

Use the definition of inverse to determine whether f and g are inverses f(x)=6÷x+7,g(x)=7x+6÷x

Mathematics

1 answer:

mr Goodwill [35]3 years ago

4 0

Idk because I'm in 5th grade sorry

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Find the x-coordinates where f ' (x)=0 for f(x)=2x+sin(4x) in the interval [0, pi]

MAVERICK [17]

Answer:

The x-coordinate is \dfrac{\pi}{6}[/tex].

Step-by-step explanation:

We are given a function f(x) as:

$f(x)=2x+\sin (4x)$

Now on differentiating both side with respect to x we get that:

$f'(x)=2+4 \cos (4x)$

When $f'(x)=0$

this means that $2+4\cos (4x)=0\\\\4\cos (4x)=-2\\\\\cos(4x)=\dfrac{-1}{2}$

Hence, cosine function takes the negative value in second and third quadrant but we have to only find the value in the interval $[0,\pi]$ .

also we know that $\cos (\dfrac{2\pi}{3})=\dfrac{-1}{2}$ ----(1) (which lie in the second quadrant)

so on comparing our equation with equation (1) we obtain:

$4x=\dfrac{2\pi}{3}\\\\x=\dfrac{\pi}{6}$

Hence, the x-coordinates where $f'(x)=0$ for $f(x)=2x+\sin(4x)$ is $\dfrac{\pi}{6}$ .

5 0

3 years ago

7/11÷2/5= A.1/11 B.22/35 C.5/6 D.35/22

Tamiku [17]

The answer's D. 35/22

Well i have to write 20 words so dont mind this part

7 0

3 years ago

8v-3v-3+7v simplified

Licemer1 [7]

Your answer is 12v-3.

Steps:

1. Group Like Terms. (8v-3v+7v-3)

2. Add Similar Elements. (8v-3v+7v=12v)

3. Finished. (=12v-3)

Hope this helped :)

3 0

3 years ago

Help me pleasee!! thanks!

Feliz [49]

Answer:

the answer is 52/100 :)

4 0

3 years ago

Read 2 more answers

(16x^2 - 25) ÷ (4x + 5) DO NOT INCLUDE PARENTHESES IN YOUR ANSWER

Marina86 [1]

$\cfrac{16x^2-25}{4x+5}= \cfrac{(4x)^2-5^2}{4x+5}= \cfrac{(4x-5)(4x+5)}{(4x+5)}= 4x-5$

3 0

3 years ago