Answer:
54.5
Step-by-step explanation:
divide it to one rectangle and two different triangles.
Rectangles area: (8+3)*4 = 44
triangle top: 4*3/2 = 6
triangle bottom: 3*3/2= 4.5
sum the all up: 44+6+4.5 = 54.5
don't know how to do it with π though if that's obligatory
Answer:
f(x) and g(x) are inverse functions
Step-by-step explanation:
In the two functions f(x) and g(x) if, f(g(x)) = g(f(x)) = x, then
f(x) and g(x) are inverse functions
Let us use this rule to solve the question
∵ f(x) = 3x²
∵ g(x) =
→ Find f(g(x)) by substitute x in f(x) by g(x)
∴ f(g(x)) = 3()²
→ Cancel the square root with power 2
∴ f(g(x)) = 3()
→ Cancel the 3 up with the 3 down
∴ f(g(x)) = x
→ Find g(f(x)) by substitute x in g(x) by f(x)
∴ g(f(x)) =
→ Cancel the 3 up with the 3 down
∴ g(f(x)) =
→ Cancel the square root with power 2
∴ g(f(x)) = x
∵ f(g(x)) = g(f(x)) = x
→ By using the rule above
∴ f(x) and g(x) are inverse functions