Find each of the indicated function value.
f (x) = 4²x - 5x + 9
a) (2) b) (-3a)
"Find each of the indicated function value"
implies you want 4²x - 5x + 9 = 2
or do you want to find f(2) ?
I have a feeling it is the second interpretation.
if f(x) = 4²x - 5x + 9
f(2) = 4(2)^2 - 5(2) + 9
= 15
f(-3a) = 4(-3a)^2 - 5(-3a) + 9
= 36a^2 + 15a + 9
Your next posting has the same kind of questions.
To find the indicated function values, we need to substitute the given values into the function expression and calculate the result.
a) To find f(2), substitute x = 2 into the function expression:
f(2) = 4²(2) - 5(2) + 9
First, calculate 4²:
f(2) = 16(2) - 5(2) + 9
Next, multiply:
f(2) = 32 - 10 + 9
Finally, subtract and add:
f(2) = 31
Therefore, f(2) = 31.
b) To find f(-3a), substitute x = -3a into the function expression:
f(-3a) = 4²(-3a) - 5(-3a) + 9
First, calculate 4²:
f(-3a) = 16(-3a) - 5(-3a) + 9
Next, multiply:
f(-3a) = -48a + 15a + 9
Finally, combine like terms:
f(-3a) = -33a + 9
Therefore, f(-3a) = -33a + 9.