If f of x is equal to e to the x th power and g of x is equal to x minus 4 , what is open paren g circ f close paren times x ?
Answer
A
open paren g circ f close paren times x is equal to e to the x th power minus 4
B
open paren g circ f close paren times x is equal to e raised to the x minus 4 power
C
open paren g circ f close paren times x is equal to e raised to the x minus 4 power minus 4
D
open paren g circ f close paren times x is equal to e to the x th power plus x minus 4
Explanation
For the composition, apply f first: f(x) = e^x. Then apply g, which subtracts 4 from its input: g(f(x)) = g(e^x) = e^x - 4. So the correct choice is B, e^x minus 4.
AI-written and checked against the verified answer.