Math Problem Statement

the function is defined by f(x)=2x^2-7.Gind f (2a)

Solution

To find f(2a)f(2a) for the function f(x)=2x27f(x) = 2x^2 - 7, we substitute 2a2a in place of xx in the function:

f(2a)=2(2a)27f(2a) = 2(2a)^2 - 7

Now, simplify the expression:

f(2a)=2(4a2)7f(2a) = 2(4a^2) - 7

f(2a)=8a27f(2a) = 8a^2 - 7

So, f(2a)=8a27f(2a) = 8a^2 - 7.

Would you like more details on the process, or do you have any other questions?

Here are 5 questions related to this topic:

  1. How do we differentiate the function f(x)=2x27f(x) = 2x^2 - 7?
  2. What is the value of f(3)f(3) for f(x)=2x27f(x) = 2x^2 - 7?
  3. How do we find the inverse of the function f(x)=2x27f(x) = 2x^2 - 7?
  4. What is the domain and range of f(x)=2x27f(x) = 2x^2 - 7?
  5. How does substituting negative values of aa affect f(2a)f(2a)?

Tip: When substituting expressions into a function, always ensure proper distribution and squaring when applicable.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Algebra
Functions
Substitution

Formulas

f(x) = 2x^2 - 7
Substitute x = 2a into f(x)

Theorems

-

Suitable Grade Level

Grades 8-10