If f (x) = (x - 3) 2 + 4 and g (x) = x3 + 2, which statement is true?

(-2) = g (-3)

f (0) = g (-1)

f (8) = g (3)

f (2) = g (1)

f (8) = g (3)

Step-by-step explanation:

f (x) = (x - 3) ^2 + 4 and g (x) = x^3 + 2

We need to determine the values when we replace x

f (-2) = (-2 - 3) ^2 + 4 = (-5) ^2 + 4 = 25+4 = 29

f (0) = (0 - 3) ^2 + 4 = (-3) ^2 + 4 = 9+4 = 13

f (2) = (2 - 3) ^2 + 4 = (-1) ^2 + 4 = 1+4 = 5

f (8) = (8 - 3) ^2 + 4 = (5) ^2 + 4 = 25+4 = 29

Now we find a g (x) value that matches one of these we are good

g (-3) = (-3) ^3 + 2 = - 27 + 2 = - 25

g (-1) = (-1) ^3 + 2 = - 1 + 2 = 1

g (1) = (1) ^3 + 2 = 1 + 2 = 3

g (3) = (3) ^3 + 2 = 27 + 2 = 29

f (8) = 29 and g (3) = 29

so f (8) = g (3)

Replace x in each equation with the given choices and see which one is true:

f (x) = (x - 3) 2 + 4

g (x) = x3 + 2

The answer is: f (8) = g (3)

f (x) = (8-3) ^2 + 4 = 5^2 + 4 = 25 + 4 = 29

g (x) = 3^3 + 2 = 27 + 2 = 29