keatonlpatrick14 keatonlpatrick14

26-03-2021
Advanced Placement (AP)

contestada

Let S(x) = (2x + 1)^3 and let g be the inverse function of f. Given that f(0) = 1, what is the value of gʻ(1) ?

Respuesta :

MrRoyal MrRoyal

31-03-2021

Answer:

[tex]g(1) = 0[/tex]

Explanation:

Given

[tex]f(x) = (2x + 1)^3[/tex]

[tex]f(0) = 1[/tex]

Required

Find g(1)

If f(x) and g(x) are inverse functions, then:

[tex]f(x) = y[/tex]

implies that:

[tex]g(y) = x[/tex]

Using the analysis above:

[tex]f(0) = 1[/tex] implies that:

[tex]g(1) = 0[/tex]

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