Question

If f(x) = 7 + 4x and g(x)=1/2x ,what is the value of (f/g)(5)?

Answer 1

Choice d is the answer.

Explanation:

We have given two functions.

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

We have to find the quotient of given functions.

(f/g)(x) = ? and (f/g)(5) = ?

The formula to find quotient is:

(f/g)(x) = f(x) / g(x)

Putting values in above formula, we have

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

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

(f/g)(x) = 14x+8x²

Putting x = 5 in above equation , we have

(f/g)(5) = 14(5)+8(5)²

(f/g)(5) = 70+200

(f/g)(5) = 270 which is the answer.

Answer 2

D) 270

Explanation:

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

[f/g)(x) = f(x)/g(x)

Now plug in the given functions in the above formula.

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

If we have fraction in the denominator, we can flip the fraction and multiply with the numerator.

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

= (7 + 4x)*2x

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

We have to find (f/g)(5). Now plug in x = 5 and evaluate the function.

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

= 70 + 8*25

= 70 + 200

(f/g)(5) = 270

Therefore, answer is D) 270

Hope you will understand the concept.

Thank you.