# Let 𝑓(𝑥)= 2𝑥2. Find and simplify the following:(a) 𝑓(𝑥+3)= (b) 𝑓(𝑥+3)-𝑓(3)=

## Question

## Solution 1

Sure, let's solve this step by step:

(a) 𝑓(𝑥+3)=

We substitute x+3 into the function f(x) = 2x^2:

f(x+3) = 2*(x+3)^2 = 2*(x^2 + 6x + 9) = 2x^2 + 12x + 18

So, f(x+3) = 2x^2 + 12x + 18

(b) 𝑓(𝑥+3)-𝑓(3)=

We already know f(x+3) from part (a), so we just need to find f(3) and subtra Knowee AI is a powerful AI-powered study tool designed to help you to solve study problem

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