Which of the following uses the properties of exponents to correctly rewrite the function f(x)=7⋅22x+3⋅2−(x+5)+3 in the form f(x)=a(b)x−h+k?(1 point)

Question

Which of the following uses the properties of exponents to correctly rewrite the function f(x)=7⋅22x+3⋅2−(x+5)+3 in the form f(x)=a(b)x−h+k?(1 point)
Responses

GPT 3.5 · Answer

f(x) = 7 * 2^(2x) + 3 * 2^(-x) + 3 = 7 * (2^2)^x + 3 * (2^(-1))^x + 3 = 7 * 4^x + 3 * (1/2)^x + 3 Therefore, f(x) = 7 * 4^x + 3 * (1/2)^x + 3 in the form f(x) = a(b)^x-h+k would be correct.