If f(x) = 7 + 4x and g (x) = StartFraction 1 Over 2 x EndFraction, what is the value of (StartFraction f Over g EndFraction) (5)?
Eleven-halves
StartFraction 27 Over 10 EndFraction
160
270

Respuesta :

The value of (StartFraction f Over g EndFraction) (5) will be 270

Fraction is a number that is stated as a quotient in mathematics, when the numerator and denominator are divided. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a correct fraction is smaller than the denominator.

Given f(x) = 7 + 4x and g (x) = StartFraction 1 Over 2 x EndFraction

We have to find the value of (StartFraction f Over g EndFraction) (5)

Given that the functions f and g are defined by f(x) = 7 + 4x and g(x) = 1/2x

First find the value of (f/g)(x):

(f/g)(x) = (7+4x)/(1/2x)

=(7+4x)(2x)

=7(2x)+4x(2x)

(f/g)(x) = 14x + 8x^2

Put x=5 in the above function,

(f/g)(5) = 14(5) + 8(5)^2

= 70+8(25)

= 70+200

(f/g)(5) = 270

Hence value of (StartFraction f Over g EndFraction) (5) will be 270

Learn more about Fraction here:

https://brainly.com/question/5243429

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