Mathematics: Complete the missing portion of the equation. f(x) = 1/x^2 and g(x) =1/2x+4 f[g(x)] = 4x^2 + 16x + 16 + 8x + 16 +16

Step-by-step explanation:Formula for length of arc is given as:Plug l = 1.5 and r = 4 in the above equation, we find:...

Complete the missing portion of the equation. f(x)

ejhoff4347

04.01.2022

The missing portion is + 16x + 16.

Step-by-step explanation:

In order to get f(g(x)) , we put

$g(x)= \dfrac{1}{2x+4}$

into

$f(x)= \dfrac{1}{x^2}$ ,

which gives us

$f(g(x))= \dfrac{1}{(g(x) )^2}$

$f(g(x))= \dfrac{1}{(\dfrac{1}{2x+4} )^2}$

f(g(x))= (2x+4)^2

we expand and get:

f(g(x))= 4x^2+16x+16 .

Thus, we see that the missing portion is 16x+16.

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Isaiahtate053

03.01.2021

$\theta=\frac{75\pi^c}{628}$

Step-by-step explanation:

Formula for length of arc is given as:

$l=\frac{\theta}{2\pi} \times 2\pi r$

Plug l = 1.5 and r = 4 in the above equation, we find:

$1.5=\frac{\theta}{2\pi} \times 2\times 3.14\times 4$

$1.5=\frac{\theta}{\pi} \times 12.56$

$\theta=\frac{1.5\pi}{12.56}$

$\theta=\frac{150\pi}{1256}$

$\theta=\frac{75\pi^c}{628}$

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