Use the given functions to determine each of the following. f(x) = x2 + 3x - 2
g(x) = 3x - 2.

f(g(x))

f(g(x)) = 9x^2 - 3x - 4

Step-by-step explanation:

Assuming it’s

f(x) = x^2 + 3x - 2

and g(x) is linear:

f(g(x)) = (3x - 2)^2 + 3(3x - 2) - 2

= 9x^2 -12x + 4 + 9x - 6 - 2

= 9x^2 - 3x - 4

d) 30 units^2

area of rectangle = l × b

we know,

length = 10 unit

breadth = 3 unit

applying the formula,

= l × b

= 10 × 3

= 30 unit^2

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