Mathematics
science4
30

1. Let f(x) = x²+3x-1 and g(x) = x³+4x²+1. Find (f-g)(x). a) (f-g)(x) = -x³-3x²+3x b) (f-g)(x) = x³-3x²+3x-2 c) (f-g)(x) = -x³+3x²+3x-2 d) (f-g)(x) = -x³+7x²+3x-2 2. Let f(x) = √x+1/3 and g(x) = √x. Find (f*g)(x). Assume all appropriate restrictions to the domain. a) (f*g)(x) = √x²+x/3 b) (f*g)(x) = x+1/3 c) (f*g)(x) = x²+x/3 d) (f*g)(x) = x+√x/3 3. Find the domain of the function (f*g)(x) where f(x) = √x-2 and g(x) = √5-x. a) [2,∞) b) (-∞,∞) c) (-∞,2]∪[5,∞) d) [2,5] 4. Graph (f+g)(x) when f(x) = 1/x+4 and g(x) = 7/x+4. 5. Find the domain of the function (f/g)(x) where f(x) = √-x and g(x) = 1/x. a) (0,∞) b) (-∞,∞) c) (-∞,0) d) (-∞,0] 6. Let f(x) = 1/x+2 and g(x) = 1/x-3. Find (f/g)(x). Assume all appropriate restrictions to the domain. a) (f/g)(x) = x+2/x-3 b) (f/g)(x) = x-3/x+2 c) (f/g)(x) = 1/x²-x+6 d) (f/g)(x) = x²-x+6 7. Let f(x) = √x and g(x) = 3x+2. Find the range of (f*g)(x). a) [0,∞) b) [2,∞) c) (-∞,0)∪(0,∞) d) (-∞,-2/3)∪(-2/3,0)∪(0,∞)

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(2) Answers
Bernicelara311

1)A 2)c 3)A 4)D 4)B 5)C 6)B 7)C dont get me wrong am i right ?

preston1

Hello again! Answers: 1) c 2) a 3) d 4) b (the graph is numbered by 2's there are two lines both are curved one of them is touching the 2 on the 2 axis the other isn't touching any axisbut its below the III quarter) 5) c 6) b 7) a Hope they're right!

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