There's probably a mistake in the problem; as written the answer is none of the above.
We have slope from the first two points of (4-2)/(0-4) = -1/2 and a y intercept from the second point of 4 so
f(x) = (-1/2) x + 4
maybe that's the third choice; forgot the fraction bar.
Answer:
g-1(x)=SQRT{(x-4)/2} + 4
Step-by-step explanation:
I assume that the 2 is the exponent so ^ represents exponent
We know your function is g(x)=2(x-3)^2+4
For inverse functions we swap x and y values, note g(x) is like the y value
Isolate for y
y=2(x-3)^2+4
x=2(y-3)^2+4
(x-4)/2 = (y-3)^2
SQRT{(x-4)/2} + 4 = y
Therefore g-1(x)=SQRT{(x-4)/2} + 4
Answer:
A.
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