Question

Find f(4) ; if f(x)= {5 x² +8 x+4} √{x}

Answer 1

To find f(4) for the function f(x) = (5 x² + 8 x + 4) √{x}, substitute 4 into the equation and simplify to get f(4) = 232.

Step-by-step explanation:

To find f(4) given the function f(x) = (5 x² + 8 x + 4) √{x}, we need to substitute x with the value of 4 and simplify.

Firstly, let's insert 4 into the equation:

f(4) = (5(4)² + 8(4) + 4) √{4}

Now, we will simplify the equation step-by-step:

1. Calculate the square of 4: 4² = 16.
2. Multiply 5 by 16 (the result of step 1): 5 × 16 = 80.
3. Add 8 times 4 to the result of step 2: 80 + (8 × 4) = 80 + 32 = 112.
4. Add 4 to the result of step 3: 112 + 4 = 116.
5. Take the square root of 4, which is 2.
6. Multiply the result of step 4 by the square root of 4 (the result of step 5): 116 × 2 = 232.

Therefore, f(4) equals 232.