Let g the inverse function of f.
The most important property of g and f being inverses of each other, is that
g(f(x))=x, also f(g(x))=x
so, what one function 'does' to x, the other 'undoes' it.
Thus, we have:
f(g(x))=x and alos f(g(x))= -g(x)+3, from the rule
thus :
-g(x)+3=x
-g(x)=x-3
g(x)=-x+3
check: f(g(x))=f(-x+3)=-(-x+3)+3=x-3+3=x
Answer: the inverse of f is g, such that g(x)=-x+3
24 Blue marbles.
Explanation:
56 - 8 = 48
48 / 2 = 24
so if there are 24 blue marbles, 24 x 2 = 48, and then 8 more is 56.
Answer:
$45
Step-by-step explanation:
30% ÷100 =0.3. 0.3×150= 45
Answer:
g(x) x^2 - 5
------ = --------- where x ≠ - 1/4
f(x) 4x+1
Step-by-step explanation:
f(x) = 4x+1
g(x) = x^2 - 5
g(x) x^2 - 5
------ = ---------
f(x) 4x+1
The denominator cannot equal zero
4x+1 ≠ 0
4x≠-1
x≠-1/4
g(x) x^2 - 5
------ = --------- where x ≠ - 1/4
f(x) 4x+1
