If the graph of the function g defined by g(x)=+2x^2+3 is translated vertically upward by 5 units, it becomes the graph of a function h . find the expression for h(x) .

h (x) =

(a) (8%) compute the probability of an even integer among the 100 integers 1! , 2! , 3! , until 100! (here n! is n factorial or n*(n-1)*(n-2) *… 1) (b) (16%) compute the probability of an even integer among the 100 integers: 1, 1+2, 1+2+3, 1+2+3+4, …., 1+2+3+… + 99, and 1+2+3+… + 100

Labc is reflected across x = 1 and y = -3. what are the coordinates of the reflection image of a after both reflections?

If f(x)=x+7 and g(x)=1/x what is (fog)(x)