Given f, of, x, equals, 3, x, squared, minus, x, plus, 2f(x)=3x 2 −x+2, find f, of, minus, 4f(−4)

Question

Given f, of, x, equals, 3, x, squared, minus, x, plus, 2f(x)=3x 2 −x+2, find f, of, minus, 4f(−4)

🧐 Not the exact question you are looking for?Go ask a question

Solution 1

To find the value of f(-4), you need to substitute -4 in place of x in the function f(x) = 3x^2 - x + 2.

So, f(-4) = 3(-4)^2 - (-4) + 2

First, calculate the square of -4, which is 16.

So, f(-4) = 3*16 - (-4) + 2

Then, multiply 3 by 16, which is 48.

So, f(-4) = 48 - (-4) + 2

The minus sign before the 4 becomes a plus when you subtract a negative number.

So, f(-4) = 48 + 4 + 2

Finally, add 48, 4, and 2 together to get 54.

So, f(-4) = 54.

This problem has been solved

Solution 2

To find the value of f(-4), you need to substitute -4 in place of x in the function f(x) = 3x^2 - x + 2.

So, f(-4) = 3(-4)^2 - (-4) + 2

First, calculate the square of -4, which is 16.

So, f(-4) = 3*16 - (-4) + 2

Then, multiply 3 by 16, which is 48.

So, f(-4) = 48 - (-4) + 2

The minus sign before the -4 changes to a plus sign, so the equation becomes:

f(-4) = 48 + 4 + 2

Finally, add 48, 4, and 2 together to get 54.

So, f(-4) = 54.

This problem has been solved

Similar Questions

Given f, of, x, equals, minus, x, squared, minus, 2, x, plus, 3f(x)=−x 2 −2x+3, find f, of, 1f(1)

f(x)=4x 2 −3x−16, find f, of, minus, 2f(−2)

Given f, of, x, equals, minus, x, squared, minus, 9, x, plus, 3f(x)=−x 2 −9x+3, find f, of, minus, 3f(−3)

Given f, of, x, equals, minus, 2, x, squared, minus, 4, x, plus, 13f(x)=−2x 2 −4x+13, find f, of, minus, 7f(−7)

Given f, of, x, equals, minus, x, squared, minus, 8, xf(x)=−x 2 −8x, find f, of, minus, 3f(−3)

1/3

Upgrade your grade with Knowee

Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.