Answer: Choice B
Range = {-3, 1, 5}
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Explanation:
The domain is the set of all possible input x values. The range is the set of all possible y outputs.
Plug in each x value from the domain, one at a time, to get its corresponding range y value.
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Start with x = -3
f(x) = 2x+3
f(-3) = 2(-3)+3
f(-3) = -6+3
f(-3) = -3
So -3 is in the range.
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Move onto x = -1
f(x) = 2x+3
f(-1) = 2(-1)+3
f(-1) = -2+3
f(-1) = 1
1 is also in the range
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Finally plug in x = 1
f(x) = 2x+3
f(1) = 2(1)+3
f(1) = 2+3
f(1) = 5
The value 5 is the final value in the range.
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All of those values form the set {-3, 1, 5} which is the complete range.
Answer:
Step-by-step explanation:
f(x) = 4-x
g(x) = h
+k
g(f(x)) = 2
-16x+26
so put f(x) in g(x)
h
+k
h((4-x)(4-x) + k
h(
-8x+16)+k
if h = 2 , then
2
-16x+32 + k
and we want 26 instead of 32 so subtract 6 so K = (-6)
2
-16x+32 + (-6)
2
-16x+32 - 6
2
-16x+26
h=2
k=(-6)
Answer:
2/3 already simplified
Step-by-step explanation: