Answer:
g(x) = x+1
Step-by-step explanation:
Informally, you can see that the function h(x) takes the root of a value that is 1 more than the value under the same radical in f(x). This suggests that adding 1 to x in f(x) will give you h(x). That is, ...
h(x) = f(x+1) = f(g(x))
so
g(x) = x+1
_____
More formally, you can apply the inverse of the function f(x) to the equation ...
h(x) = f(g(x))
f^-1(h(x)) = f^-1(f(g(x))) . . . inverse function applied
f^-1(h(x)) = g(x) . . . . . . . . . simplified
Now f^-1(x) can be found by solving for y in ...
x = f(y)
x = ∛(y+2) . . . . . . . . . definition of f(y)
x^3 = y+2 . . . . . . . . . cube both sides
x^3 -2 = y = f^-1(x) . . . subtract 2 from both sides
So, f^-1(h(x)) is ...
f^-1(h(x)) = g(x) = (∛(x+3))^3 -2 = x+3 -2
g(x) = x+1
Answer:
12 with the exponent of 6 becuz 12 is bigger than 8
Answer:
%30 off is the better price
Step-by-step explanation:
firstly we know that 2 - 12 is equal to 10 so that is $10.00 there from that coupon
to find out the second value, we first devide by the total amount (%100 in this case)
<em>12 / 100 = 10.12</em>
then we multiply by the partial amount (%30)
<em>0.12 * 30 = 3.6</em>
convert that into a dollar amount and we get the total discount in dollars
<em>3.60 = $3.60</em>
AND
<em>$3.60 > $2.00</em>
<em />
hope this helps ya, take care mate :D
Answer:
36 mph
Step-by-step explanation:
First, we have to find the unit rate of the money.
Since it's 15 dollars for each mile over the speed limit, divide 15 by 165.
The answer is 11, which means he was going 11 mph over the speed limit.
Add 11 to 25, and you get 36
