Question

Given the functions f and g below, find g(f(−1)). f(x)= √-3x 1 g(x)=3x 6

a) -2
b) -4
c) 2
d) 4

Answer 1

To find g(f(-1)), substitute -1 into f(x), find the value, and then substitute that value into g(x) to get the answer of 6.

Step-by-step explanation:

To find g(f(-1)), we need to first find f(-1) and then substitute that value into g(x).

Given that f(x) = √(-3x+1) and g(x) = 3x, we can find f(-1) by plugging in -1 for x:

f(-1) = √(-3(-1)+1) = √(3+1) = 2

Now, we substitute this value into g(x):

g(f(-1)) = g(2) = 3(2) = 6

Therefore, the answer is 6.