Let 𝑓⁡(𝑥)= -3⁢𝑥2-2. Find and simplify the following:(a) 𝑓⁢(𝑥-5)=  (b) 𝑓⁡(𝑥-5)-𝑓⁡(-5)=

Question

Let 𝑓⁡(𝑥)= -3⁢𝑥2-2. Find and simplify the following:(a) 𝑓⁢(𝑥-5)=  (b) 𝑓⁡(𝑥-5)-𝑓⁡(-5)=
🧐 Not the exact question you are looking for?Go ask a question

Solution 1

Sure, let's solve this step by step:

(a) 𝑓(𝑥-5)=

We substitute x-5 into the function f(x) = -3x^2 - 2:

f(x-5) = -3(x-5)^2 - 2 = -3(x^2 - 10x + 25) - 2 = -3x^2 + 30x - 75 - 2 = -3x^2 + 30x - 77

So, f(x-5) = -3x^2 + 30x - 77

(b) 𝑓(𝑥-5)-𝑓(-5)=

We already know that f(x-5) = -3 Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study

= -3 Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem. Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem. Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem. Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to

This problem has been solved

Similar Questions

Let 𝑓⁡(𝑥)= -3⁢𝑥2-2. Find and simplify the following:(a) 𝑓⁢(𝑥-5)=  (b) 𝑓⁡(𝑥-5)-𝑓⁡(-5)=

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

Which function defines (𝑓÷𝑔)⁢(𝑥) ?𝑓⁡(𝑥)=(3.6)𝑥+2𝑔⁡(𝑥)=(3.6)3⁢𝑥+1 A. (𝑓÷𝑔)⁢(𝑥)=(3.6)-2⁢𝑥+1 B. (𝑓÷𝑔)⁢(𝑥)=(3.6)4⁢𝑥+3 C. (𝑓÷𝑔)⁢(𝑥)=(1.8)3⁢𝑥2+7⁢𝑥+2 D.

Write the following expression in terms of ln(𝑥), ln(𝑥+1), and/or ln(𝑥+2). Expand and simplify your answer.ln(𝑥(𝑥+1)(𝑥+2))

​The function 𝑓 is given by 𝑓⁡(𝑥)=sin⁡(2.25⁢𝑥+0.2). The function 𝑔 is given by 𝑔⁡(𝑥)=𝑓⁡(𝑥)+0.5. What are the zeros of 𝑔 on the interval 0≤𝑥≤𝜋 ?

1/3