Question

Use the functions f(x) = 2x2 + 3 and g(x) = 3x + 5 to evaluate the composite function. f(g(3))

Answer 1

Answer:

Step-by-step explanation:

g(x) = 3x + 5

g(3) = 3(3) + 5

g(3) = 9 + 5

g(3) = 14

-----------------------

f(x) = 2x² + 3

f(g(3)) = 2(g(3)) + 3

f(14) = 2(14²) + 3

f(14) = 2(196) + 3

f(14) = 392 + 3

f(14) = 395

-----------------------------

f(g(3)) = 395