Question

If f(x)=3x2−4x+6 find f(−3)

Answer 1

f(x) = 45

Explanation:

f (x) = 3x^2 − 4x + 6 find f (−3)

Replace the variable x with −3 in the expression.

f (−3) = 3(−3)^2 − 4 ⋅ −3 + 6

Simplify 3(−3)^2 − 4 ⋅ −3 + 6

Remove parentheses.

3(−3)^2 − 4 ⋅ −3 + 6

Raise −3 to the power of 2.

3 ⋅ 9 − 4 ⋅ −3 + 6

Multiply 3 by 9.

27 − 4 ⋅ −3 + 6

Multiply −4 by −3.

27 + 12 + 6

Simplify by adding numbers.

Add 27 and 12.

39 + 6

Add 39 and 6.

45

Answer 2

45

Explanation:

Replace everything in the equation that has a x to -3:

f(-3)=3(-3)^2-4(-3)+6

Square the -3:

f(-3)=3(9)-4(-3)+6

Multiply/Distribute

f(-3)=27+12+6

Add:

f(-3)=45

Hope this helps!