Answer:
(fog)(x) = 1/(x-2) + 3
Step-by-step explanation:
f(x) = 1/x² +3 g(x) = √(x-2)
(fog)(x) = f(g(x)) = f( √(x-2)) = 1/(√(x-2))² +3
(fog)(x) = 1/(x-2) + 3
If you're multiplying the 2 exponents with the same base then you add the exponents.
Hope this helps :)
Y = 5 x 3 + 8
y = 15 + 8
y = 23
Let
S = cost of skateboard
B = cost of bicycle.
We are given that skateboard and bicycle cost $199.00. We can write this algebraically as
S + B = 199 (Equation 1)
We also know that the skateboard costs $51.00 less than the bicycle. We write this algebraically as
S = B - 51 (Equation 2)
Substituting Equation 2 in Equation 1, we get
S + B = 199
--> (B - 51) + B = 199
--> B - 51 + B = 199
--> 2B - 51 = 199
--> 2B - 51 + 51 = 199 + 51
--> 2B = 250
--> 2B / 2 = 250 / 2
--> B = 125
Now substituting this value B = 125 in Equation 2 gives
S = B - 51 = 125 - 51 = 74
So S = 74 and B = 51 implies that the skateboard costs $74 and the bicycle costs $125.
estimate by rounded to the nearest dollars
2 +1 +5 +2 +3 +9 +1 = $23
-2
23-2 = 21
yes the amount is reasonable
