F(x) = -2x + 7 g(x) = x2 - 2

Part 1: Calculate f(g(x))

f(g(x)) = -2x2 + 11

f(g(x)) = -2x2 + 3

f(g(x)) = 2x2 + 3

f(g(x)) = 2x2 + 11

Part 2: Calculate g(f(2))

-2

47

7

42

a

b

d

step-by-step explanation:

step-by-step explanation:

f(x)=2x^2 -1 

translation is a function transformation that transform the function in a way of translating. by translating the function its graph is moved  up an down. moving the function f(x) 2 units to the left will be the new function g(x) with the equation: g(x)=f(x+2)=2(x+2)^2 -1