Question

guided practice
let ( f(x) = 9x - 1 ) and ( g(x) = x^3 ).
evaluate ( (f circ g)(-1) ).
a. 10
b. -10
c. 512
d. 8

Explanation:

Step1: Understand function composition

The composition \((f \circ g)(x)\) means \(f(g(x))\). So first, we need to find \(g(-1)\), then substitute that result into \(f(x)\).

Step2: Calculate \(g(-1)\)

Given \(g(x) = x^3\), substitute \(x = -1\) into \(g(x)\):
\(g(-1) = (-1)^3 = -1\)

Step3: Substitute \(g(-1)\) into \(f(x)\)

Given \(f(x) = 9x - 1\), substitute \(x = g(-1) = -1\) into \(f(x)\):
\(f(g(-1)) = f(-1) = 9(-1) - 1 = -9 - 1 = -10\)

Answer:

B. -10