Question

Find the value of F(x)=4x³-3x²+5x+7 at x=½​

Answer 1

Answer:

Given:-

• x = 1/2

To Find:-

• f(x) = 4x³-3x²+5x+7

Now subtitutes the given value of x in f(x)

$\tt \implies f( \frac{1}{2} ) = 4 \times {( \frac{1}{2} })^{3} - 3 \times ( { \frac{1}{2} })^{2} + 5 \times \frac{1}{2 } + 7 \\ \tt \implies f( \frac{1}{2} ) = 4 \times \frac{1}{8} - 3 \times \frac{1}{4} + \frac{5}{2} + 7 \\ \tt \implies f( \frac{1}{2} ) = \frac{1}{2} - \frac{3}{4} + \frac{5}{2} + 7 \\ \tt \implies f( \frac{1}{2} ) = \frac{2 - 3 + 10 + 7}{4} \\ \tt \implies f( \frac{1}{2} ) = \frac{16}{4} = 4$

So, Value of f(x) at x =1/2 = 4

Answer 2

Answer:

The value of F(x) at x=1/2 is 37/4 = 9.25

Step-by-step explanation:

Given : F(x) = 4x³ -3x²+5x+7

             x= 1/2

           F(1/2) = ?

Solution : Given  F(x) = 4x³ -3x²+5x+7

substituting value of x=1/2 in the given function, we get

                then F(1/2) = 4(1/2)³ - 3(1/2)² + 5(1/2) +7

                                   = 4/8 - 3/4 + 5/2 +7

LCM of 2,4,8 is 8

                                  = (4-3x2+5x4+7x8)/8

                                  = (4-6+20+56)/8

                                  = 74/8

                                  = 37/4

                                  = 9.25