What is the value of ? (Write your answer as a fraction in reduced form).

Exact Form 67/6

Mixed Number Form 11 1/6

Step-by-step explanation:

Removed Parenthesis 8/3+(-3)^2-1/2

Group like terms 8/3 - 1/2 + (-3)^2

Apply the exponent rule 8/3 - 1/2 + 3^2

Find the LCM (least common multiple) of 3 & 2; 6

Adjust Fraction based on LCM 8/3 = 8*2/3*2 = 16/6   1/2 = 1*3/2*3 = 3/6

16/6 - 3/6

since denominators are equal combine the fraction

Subtract the numbers 3^2 + 13/6

3^2 = 9 = 9 +13/6

9*6/6 + 13/6

= 67/6

shift 4 units up, and 1 unit left.

it will translate f(x) = 3^x to g(x) = 3^(x+1) + 4