Question

Consider the following functions. f(x)=x+43 and g(x)=x+4⎯⎯⎯⎯⎯⎯⎯⎯⎯√ Find the formula for (g∘f)(x) and simplify your answer. Then find the domain for (g∘f)(x). Round your answer to two decimal places, if necessary.

Answer 1

Answer: The formula is x+47, and the domain is all real numbers

Explanation:

F(x)= x+43

g(x)= x+4

gof(x)

g(x+43)

X+43+4

= x+47

Therefore the formula for (g∘f)(x) =x+47

The domain is all real numbers.

See attached picture