Math

QuestionFind f(4)f(-4) using the function f(x)=x21f(x)=x^{2}-1 given that f(2)=f(0)=f(1)=  f(-2)=f(0)=f(1)=\;.

Studdy Solution

STEP 1

Assumptions1. The function is defined as f(x)=x1f(x)=x^{}-1 . We need to find the value of f(4)f(-4)

STEP 2

To find the value of f(4)f(-4), we need to substitute 4-4 in place of xx in the function f(x)=x21f(x)=x^{2}-1.
f(4)=(4)21f(-4)=(-4)^{2}-1

STEP 3

Calculate the square of -.
()2=16(-)^{2}=16

STEP 4

Substitute the value of (4)2(-4)^{2} into the equation.
f(4)=161f(-4)=16-1

STEP 5

Subtract1 from16 to find the value of f(4)f(-4).
f(4)=161=15f(-4)=16-1=15So, f(4)=15f(-4)=15.

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