f(c + a) = 2.1 c + 2.1 a - 1.7
f(1/3 x - 2/3) = 0.7 x - 3.1
f(x + 2) = 2.1 x + 2.5
f(3c) = 6.3 c - 1.7
Step-by-step explanation:
The function is f(x) = 2.1 x - 1.7
We need to use this formula to find
- f(c + a)
- f(1/3x - 2/3)
- f(x + 2)
- f(3c)
To solve the problem substitute x by each value in the bracket
∵ f(x) = 2.1 x - 1.7
f(c + a) means substitute x by c + a
∵ x = c + a
∴ f(c + a) = 2.1(c + a) - 1.7
- Multiply the bracket by 2.1
∴ f(c + a) = 2.1 c + 2.1 a - 1.7
∵ f(x) = 2.1 x - 1.7
- f(1/3 x - 2/3) means substitute x by 1/3 x - 2/3
∵ x = 1/3 x - 2/3
∴ f(1/3 x - 2/3) = 2.1(1/3 x - 2/3) - 1.7
- Multiply the bracket by 2.1
∴ f(1/3 x - 2/3) = 0.7 x - 1.4 - 1.7
- Add the like terms
∴ f(1/3 x - 2/3) = 0.7 x - 3.1
∵ f(x) = 2.1 x - 1.7
- f(x + 2) means substitute x by x + 2
∵ x = x + 2
∴ f(x + 2) = 2.1(x + 2) - 1.7
- Multiply the bracket by 2.1
∴ f(x + 2) = 2.1 x + 4.2 - 1.7
- Add the like terms
∴ f(x + 2) = 2.1 x + 2.5
∵ f(x) = 2.1 x - 1.7
- f(3c) means substitute x by 3c
∵ x = 3c
∴ f(3c) = 2.1(3c) - 1.7
- Multiply 2.1 by 3c
∴ f(3c) = 6.3 c - 1.7
Learn more:
You can learn more about the functions in brainly.com/question/628130
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