Question

If f(x) = 2x^2+3 and g(x)= 5x, evaluate the following: a. f(g(x)) b. g(g(3)) c. g(f(-2))

Answer 1

Answer:

A = 50x^2+3

B = 75

C = 55

Step-by-step explanation:

$f(x)=2x^2+3\\g(x)=5x$

A. f(g(x))

$2(5x)^2+3\\2(25x^2)+3\\=50x^2+3$

B. g(g(3))

$5(5(3))\\5(15)\\=75$

C. g(f(-2))

$g(2(-2)^2+3)\\g(8+3)\\g(11)\\5(11)\\=55$