Given the parent functions f(x) = log10 x and g(x) = 5x − 2, what is f(x) ⋅ g(x)? (2 points)f(x) ⋅ g(x) = log10 x5x − 2f(x) ⋅ g(x) = log10 (5x − 2)xf(x) ⋅ g(x) = 5x log10 x + 2 log10 xf(x) ⋅ g(x) = 2 log10 x − 5x log10 x

If you shift the linear parent function, f(x) = x, to the left 5 units, what is the equation of the new function?A.g(x) = 5B.g(x) = 5xC.g(x) = xD.g(x) = x + 5

If f(x) = 2x + 3 and g(x) = x – 5, what is g ○ f?

What is (f–g)(x)?f(x)=–5xg(x)=2x+2Write your answer as a polynomial or a rational function in simplest form.

For the function f, of, x, equals, start root, start index, 5, end index, left parenthesis, start fraction, x, divided by, 5, end fraction, right parenthesis, end rootf(x)= 5 ( 5x​ )​ , find f, to the power minus 1 , left parenthesis, x, right parenthesisf −1 (x).

For the pair of functions f(x) = 4x2 + 3x + 5 and g(x) = 3x - 3Find (g ∘ f)(x).