Question

you work forty hours a week at a furniturestore you receive a 220 weekly salary.Plus a 3% commission on sales over 5000rs.Assume that you sell enough this weekto get the commission. Given the functions
f = 0.03x and an = x-5000, whichof (f og )(x)and Gof(y) represnts your commission?​

Answer 1

Solution :-

given that,

→ f(x) = 0.03x

→ g(x) = (x - 5000)

so,

→ (f o g)(x) = f(g(x))

→ f(x - 5000) = 0.03(x - 5000)

and,

→ (g o f)(x) = g(f(x))

→ g(0.03x) = 0.03x - 5000

since commission is given over the sale of Rs.5000 .

therefore,

→ The commission is = 0.03(x - 5000) = (f o g)(x)

hence, (f o g )(x) represents our commission .

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