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Answer:
Step-by-step explanation:
1 - f(x) = f (x + 2) = 2^x+2
{ when x = 0, y = 2² = 4 }
so the function { y - intercept at (0, 4) }
2 - m(x) = -f(x) = - 2^x
2^x increases as x increases
So -2^x {decreases as x increases}
3 - g(x) = 2f(x) = 2, 2^x = 2^x+1
{ when x = 0, y = 2^1 = 2 }
So the function { y-intercept at (0, 2)
4 - h(x) = f(x)+ 2 = 2^x + 2
f(x)'s asymptote of y = 0
so {f(x) + 2}'s asymptote of y =2
You said that (1/2) / N = 1/3
Multiply each side by 'N' : (1/2) = 1/3 N
Multiply each side by 3 : 3/2 = N
or 1-1/2 = N .
Hello from MrBillDoesMath!
Answer:
(x-8)^(1/3) +2
Discussion:
To find the inverse of a function swap the values of x and y in the original equation y = (x-2)^3 +8 and solve for y.
y = (x-2)^3 +8 => original function. swap x and y values
x = (y-2)^3 + 8 => subtract 8 from both sides
x - 8 = (y -2)^3 => take cube root of both sides
(x-8)^(1/3) = y - 2 => add 2 to both sides
(x-8)^(1/3) +2 = y => y is the inverse
Thank you,
MrB
