If f and g are real functions defined by f (x) = x² + 7 and g (x) = 3x + 5, find each of the following

Question

If f and g are real functions defined by f (x) = x2 + 7 and g (x) = 3x + 5, find each of the following

Philoid · Accepted Answer

Given: f and g are real functions such that f (x) = x² + 7 and g (x) = 3x + 5

To find:

Explanation: the given

f (x) = x² + 7

Now putting in above function, we get

and also given

g (x) = 3x + 5

Now putting x = 14 in above function, we get

g (14) = 3(14) + 5 = 42 + 5 = 47…………(ii)

Multiplying equation (i) and (ii), we get