Add Functions
What is the sum of the functions f(x)=2x+3 and g(x)=x−1?
f+g(x) = 3x+2
What is f(x)−g(x) if f(x)=4x+5 and g(x)=x+2?
Answer: f(x)−g(x)=3x+3
What is f(x) ⋅ g(x) if f(x)=2x and g(x)=3
Answer: f(x)⋅g(x)=6x
What is the value of the piecewise function if x=2?
x+1, if x<1
f(x)= 3 , if 1<x<3
x2 , if x>3
Answer: f(2)=3
Given the values: (1, 2), (2, 4), (3, 6), write a function that represents this table.
Answer: f(x)=2x
If f(x)=x2f(x)=x2 and g(x)=3x+4, what is f(x)+g(x)?
f(x)+g(x)=x2+3x+4
If f(x)=2x2 and g(x)=x2−3, calculate f(x)−g(x).
Answer: f(x)−g(x)=x2+3
Calculate the product f(x)⋅g(x) where f(x)=x+1 and g(x)=x−1.
Answer: f(x)⋅g(x)=x2−1
x+1, if x<1
f(x)= 3 , if 1<x<3
x2 , if x>3
If f(x) is defined as above, what is f(4)?
Answer: f(4)=16
Write a linear function from the table:
x y
1 3
2 7
3 11
Answer: f(x)=4x−1
Calculate h(x)=f(x)+g(x) where f(x)=5x−2 and g(x)=2x+6
Answer: h(x)=7x+4
Calculate h(x)=f(x)−g(x) where f(x)=3x+7 and g(x)=2x−1.
Answer: h(x)=x+8
If f(x)=3x and g(x)=x+4, what is f(x)⋅g(x)?
Answer: f(x)⋅g(x)=3x2+12x
x+1, if x<1
f(x)= 3 , if 1<x<3
x2 , if x>3
Determine f(−2) for the same piecewise function.
Answer: f(−2)=−1
Write a linear function that fits the points: (2, 3), (4, 7).
Answer: f(x)=2x−1
If f(x)=2x+5 and g(x)=−3x+1, what is f(x)+g(x)?
Answer: f(x)+g(x)=−x+6
Find the difference f(x)−g(x) where f(x)=7x3 and g(x)=4x3+2x.
Answer: f(x)−g(x)=3x3−2x
Find the product of f(x)=x2+1 and g(x)=2x−3.
Answer: f(x)⋅g(x)=2x3−3x2+2x−3
Given f(x)=−x2+x+15, find f(−8)
f(−8)=−57
Write a function from the table:
x y
0 1
1 3
2 5
Answer: f(x)=2x+1
Find the sum of f(x)=x3−4x and g(x)=2x2+x+3.
Answer: f(x)+g(x)=x3+2x2−3x+3
If f(x)=5x2+3x−1 and g(x)=2x2−4, what is f(x)−g(x)?
Answer: f(x)−g(x)=3x2+3x+3
Calculate h(x)=f(x)⋅g(x) where f(x)=x−2 and g(x)=3x2+1
Answer: h(x)=3x3−6x2+x−2
Given f(x)=−4x2+3x−11, find f(−4)
f(−4)=−87
Write a function from the table:
x y
-1 0
0 2
1 4
Answer: f(x)=2x+2