Find the domain and range for the indicated function.
-If f(x) = -2x + 3 and g(x) = 5x + 5, find g(f(x)).
A) 10x + 20
B) -10x - 10
C) -10x + 20
D) -10x + 13

Question

Quizplus · Accepted Answer

To find g(f(x)), we need to substitute f(x) into the expression for g(x): 
g(f(x)) = 5f(x) + 5 = 5(-2x + 3) + 5 = -10x + 15 + 5 = -10x + 20. 
Therefore, the answer is choice C, and the domain and range are all real numbers.

Find the Domain and Range for the Indicated Function