Let f(x) = 3x + 2 and g(x) = 7x + 6. Find f.g and its domain.

Solution:

Given: Functions are

f(x) = 3x + 2

g(x) = 7x + 6

We have to find f . g

f(x) × g(x) = (3x + 2) × (7x + 6)

By applying the multiplicative distributive property

= 3x × 7x + 3x × 6 + 2 × 7x + 2 × 6

= 21x² + 18x + 14x + 12

So we get,

= 21x² + 32x + 12

The domain of the function is (-∞,∞)

Therefore, the value of f.g is 21x² + 32x + 12 and its domain is all real numbers.

Let f(x) = 3x + 2 and g(x) = 7x + 6. Find f.g and its domain.

Summary:

If f(x) = 3x + 2 and g(x) = 7x + 6 then the value of f.g is 21x² + 32x + 12 and its domain is all real numbers.