Question

Use f(x)= 3x-5 and g(x)= 2x+9. Solve the problem below.

(gºf)(-2)
A) -29
B) -11
C) 1
D) 7

Answer 1

To find the composition of the given functions, substitute f(x) into g(x) and evaluate it at -2.

Step-by-step explanation:

To find (gºf)(-2), we need to first find the composition of the functions g and f. The composition of two functions, g and f, is denoted as (gºf)(x) and is equal to g(f(x)).

Given f(x) = 3x - 5 and g(x) = 2x + 9, we can substitute f(x) into g(x) to find g(f(x)).

g(f(x)) = g(3x - 5) = 2(3x - 5) + 9 = 6x - 10 + 9 = 6x - 1

Now, we can substitute -2 into g(f(x)) to find (gºf)(-2).

(gºf)(-2) = 6(-2) - 1 = -12 - 1 = -13

Therefore, the correct answer is D) -13.