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Oksi-84 [34.3K]
1 year ago
8

If g(x) and f(x) are inverse functions, which graph represents g(x)?

Mathematics
1 answer:
34kurt1 year ago
4 0

When g(x) and f(x) are inverse functions, the graph that represents g(x) is the second graph.

<h3>How to explain the graph?</h3>

It should be noted that the first graph shows the radical expression where, f(x) = ✓x.

In order to find the inverse, we need to replace f(x) with y and switch the x. This will be:

x = ✓y

(✓y)² = x².

y = g(x) = x²

Therefore, the graph that shows the exponential growth is the second graph.

Learn more about graph on:

brainly.com/question/19040584

#SPJ1

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Find the first derivative of D with respect to temperature T

dD/dT = \dfrac{70000000\left(291T^2-24298T+91800\right)}{\left(679T^3-85043T^2+642600T-9998700000\right)^2}

Let dD/dT = 0 to find the critical value we will get

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Using formula of quadratic, we get the roots:

T =  79.53 and T = 3.967

Since the temperature is only between 0 and 30, pick T = 3.967

Find 2nd derivative to check whether the equation will have maximum value:

-\dfrac{140000000\left(395178T^4-65993368T^3+3286558821T^2+2886200857800T-121415215620000\right)}{\left(679T^3-85043T^2+642600T-9998700000\right)^3}

Substituting the value with T=3.967,

d2D/dT2 = -1.54 x 10^(-8)    a negative value. Hence It is a maximum value

Substitute T =3.967 into equation V, we get V = 0.001 i.e. the volume when the the density is the highest is at 0.001 m3 with density of

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