Taylorkevon35
31.05.2021 •
Mathematics
Fred Tye sells electronic equipment after school at Sparky's World. He earns $140 a week, plus
7% percent commission on all sales over $1,000. Last week, Fred sold $3,000 worth of
equipment. How much did he earn? (Use this formula: earnings = salary +.07 (sales - $1000).
Solved
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Ответ:
Explanation:
The expression g(f(2)) has f(2) as the inner function.
Let's compute f(2)
This means we plug x = 2 into the f(x) function
f(x) = 4x^3 - 10
f(x) = 4(x)^3 - 10
f(2) = 4(2)^3-10
f(2) = 4*8-10
f(2) = 32-10
f(2) = 22
Now we'll plug this into the g(x) function
This is because g(f(2)) = g(22). I've replaced f(2) with 22
So,
g(x) = (3x-4)/2
g(22) = (3*22-4)/2
g(22) = (66-4)/2
g(22) = 62/2
g(22) = 31
Therefore, g(f(2)) = 31