Question

Given the functions below, find (g + h) (1).

g(x) = 72 + 4 + 220
h(x) = -3x + 2
a) 223
b) 221
c) 219
d) 217

Answer 1

Upon calculation, (g + h)(1) equals 295, which does not match any of the given options. There may be a typo in the options as none of them corresponds to the evaluated result of the expression based on the functions g(x) and h(x) provided.

Step-by-step explanation:

To find (g + h)(1), we need to evaluate both functions g and h at x = 1 and then sum the results. Initially, we have the functions g(x) = 72 + 4 + 220 and h(x) = -3x + 2. First, we simplify g(x):

g(x) = 72 + 4 + 220 = 296.

Next, we evaluate h(x) at x = 1:

h(1) = -3(1) + 2 = -3 + 2 = -1.

Now, we add g(1) and h(1) to find (g + h)(1):

(g + h)(1) = g(1) + h(1) = 296 + (-1) = 295.

However, none of the options given, a) 223, b) 221, c) 219, d) 217, match the calculated result of 295. It appears there might be a typo in the options provided. Hence, the correct selection based on the functions provided is not listed.