Question

Let f(x) = 2x^2 - 3x + 7 / 5x^2 - 2x. Find f(3).

Answer 1

Step-by-step explanation:

$f(3) = \frac{2 {(3)}^{2} - 3(3) + 7 }{5 \times {3}^{2} - 2 \times 3} \\ = \frac{18 - 9 + 7}{45 - 6} \\ = \frac{16}{39}$

Answer 2

$\bf f(3) = \frac{16}{39}$

Step-by-step explanation:

Given:

• $f(x) = \frac{2 {x}^{2} - 3x + 7 }{5 {x}^{2} - 2x}$

To find:

• Find f(3).

Solution:

Concept to be used:

• If f(x) is given and f(a) to be calculate, then put x= a in the f(x) and solve.

Step 1:

Put x= 3 in f(x).

$f(3) = \frac{2 {(3)}^{2} - 3(3) + 7 }{5 {(3)}^{2} - 2(3)}$

Step 2:

Simply the fraction.

Remember to follow order of operations.

$f(3) = \frac{2 \times 9 - 9+ 7 }{5 \times 9 - 6}$

or

$f(3) = \frac{18 - 9+ 7 }{45 - 6}$

or

$f(3) = \frac{16 }{39}$

Thus,

Value of f(3) is 16/39.

Learn more:

1) A real function f is defined by f (x ) = 2x- 5.Then the value of f (−3).

https://brainly.in/question/4237058

2) Simplify 7x²(3x - 9) + 3 and find its values for x = 4 and x = 6

https://brainly.in/question/13371695

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