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Find −(18𝑓(−2))/(16𝑓(−10)) given that 𝑓(𝑥) = 8.
Find negative 18 𝑓 of negative two over 16 𝑓 of negative 10 given that 𝑓 of 𝑥 equals eight.
We’ve been given that 𝑓 of 𝑥 equals eight. This is a function in the form 𝑓 of 𝑥 equal 𝐶, where 𝐶 is some constant value. Functions in this form represent a horizontal line. And that means, for every 𝑥-value., the function will be equal to that constant 𝐶.
In our expression, negative 18 times 𝑓 of negative two over 16 times 𝑓 of negative 10, we will substitute that constant value for our 𝑓 of 𝑥 in place of 𝑓 of negative two and in place of 𝑓 of negative 10. We immediately see that our eight in the numerator and our eight in the denominator cancel out, leaving us with negative 18 over 16. Both the numerator and the denominator are divisible by two. So we have negative nine-eighths. And if we wanted to write that as a mixed number, it would be negative one and one-eighth. This expression can be simplified to negative one and one-eighth based on the given function data.
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