# Given the parent functions f(x) = log10 x and g(x) = 3x - 1, what is f(x).g(x)?

**Solution:**

A function is defined as a relation between a set of inputs having one output each.

It is given that

f(x) = log10 x and g(x) = 3x - 1

We know that,

f(x) g(x) = f(x).g(x)

Substituting the values

f(x).g(x) = log10 x . (3x - 1)

By further solving it

log10 x . (3x - 1) = log10 x (3x - 1)

Therefore, f(x).g(x) is log10 x (3x - 1).

## Given the parent functions f(x) = log10 x and g(x) = 3x - 1, what is f(x).g(x)?

**Summary:**

Given the parent functions f(x) = log10 x and g(x) = 3x - 1, f(x).g(x) is log10 x (3x - 1).