Question

The function f is defined by f(x)=2.1x−1.7. Use this formula to find the following values of f.

Answer 1

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

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