11
QuizMultiple Choice

Functions and Their Inverses — Test

Question 11 • Math 3

If f of x is equal to 7 plus 4 x and g of x is equal to 1 over 2 x , what is the value of open paren f over g close paren of 5 ?

Answer
A
27 tenths
B
11 halves
C
160
D
270

Explanation

Evaluate each function at 5: f(5) = 7 + 4(5) = 27, and g(5) = 1/(2·5) = 1/10. Then (f/g)(5) = f(5)/g(5) = 27 ÷ (1/10) = 270. So the value is 270.

AI-written and checked against the verified answer.

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