Question

select the correct answer.
consider functions f and g.
f(x) = 3√x + 1
chart showing mapping from x values (1,2,3,4) to g(x) values (0,1,4,9)
what is the value of f(g(1))?
a. 0
b. 3√2 + 1
c. 1
d. 9

Explanation:

Step1: Find g(1)

From the mapping of function \( g \), when \( x = 1 \), \( g(1)=0 \).

Step2: Substitute g(1) into f(x)

Now we need to find \( f(g(1))=f(0) \). Given \( f(x)=3\sqrt{x}+1 \), substitute \( x = 0 \) into \( f(x) \):
\( f(0)=3\sqrt{0}+1 \)

Step3: Calculate the value

Since \( \sqrt{0}=0 \), then \( 3\sqrt{0}+1 = 3\times0 + 1=1 \).

Answer:

C. 1