Question

If g(u) = u² - 5u and h(u) = √7u; Find (g +h)(7)
a) 21
b) 28
c) 35
d) 42

Answer 1

(g + h)(7) is calculated by evaluating g(7) and h(7) individually and summing the results. g(7) is 14, and h(7) is 7, so the final answer is 21, which corresponds to option (a).

Step-by-step explanation:

To find the value of (g + h)(7), you need to evaluate the functions g and h at the value u = 7, and then add the results together.

So first, let's calculate g(7):

g(7) = 7² - 5×7

g(7) = 49 - 35

g(7) = 14

Next, we calculate h(7):

h(7) = √(7×7)

h(7) = √49

h(7) = 7

Now we add the two results together:

(g + h)(7) = g(7) + h(7)

(g + h)(7) = 14 + 7

(g + h)(7) = 21

Therefore, the correct answer is (a) 21.