Given the following functions f(x) and g(x), solve f over g (−5) and select the correct answer below: f(x) = 2x − 20 g(x) = x − 1 a. -5 b. 5 c. 1/6 d. 30
Mathematics · High School · Thu Feb 04 2021
Answered on
Given the function:
f(x) = 2x − 20
g(x) = x − 1
Sove for f over g(-5)
Solution:
The given function can be equated as,
f/g(-5) = (2x - 20)/ (-5) - 1
f/g(-5) = (2x - 20)/ -6
f/g(-5) = -⅓x - 10/3
To solve for x, we transpose -⅓ to the other side of the equation and multiply both sides by 3 to cancel out ⅓x. Hence we must take note that in transposing a number, the sign changes.
= -⅓x - 10/3
⅓x = -10/3
(3)(⅓x) = (3)(-10/3)
x = -30
Final answer:
x = -30