If g(t) = 5t+1 and h(n) = 2(n - 7), what is the value of h(g(3))?
g(3) = 5(3)+1= 16
h(g(3))
= h(16) = 2(16-7) = 18
why do you call this trig ?
To determine the value of h(g(3)), we first need to find the value of g(3), and then substitute that result into the function h. Let's break it down step by step:
Step 1: Evaluate g(3)
The function g(t) is given as g(t) = 5t + 1. To find g(3), substitute t with 3 and solve the equation:
g(3) = 5(3) + 1 = 15 + 1 = 16
Step 2: Substitute g(3) into h(n)
The function h(n) is given as h(n) = 2(n - 7). To find h(g(3)), substitute n with g(3):
h(g(3)) = 2(g(3) - 7)
Step 3: Replace g(3) with the result from Step 1
h(g(3)) = 2(16 - 7)
Step 4: Simplify the expression inside the parentheses
h(g(3)) = 2(9)
Step 5: Perform the multiplication
h(g(3)) = 18
Therefore, the value of h(g(3)) is 18.