Question

Find f 9/19 if f(x) = –2x + 8? a) 134/19

b) 152/19
c) −134/19
d) −152/19

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Answer 1

To calculate f(9/19) for the function f(x) = -2x + 8, substitute 9/19 for x to get -2(9/19) + 8. Then, simplify -2(9/19) to -18/19 and find a common denominator to add 8, which leads to the answer of -134/19, option (c).

Step-by-step explanation:

To find f(9/19) when given the function f(x) = –2x + 8, you substitute 9/19 in for x and calculate the result:

f(9/19) = –2(9/19) + 8

First, multiply –2 by 9/19:

–2(9/19) = –18/19

Then, add the result to 8, making sure to express 8 as a fraction with a common denominator:

–18/19 + (8 × 19/19)

–18/19 + 152/19 = ‑34/19

Therefore, the answer is ‑34/19, which corresponds to option (c).