Question

What is (g ° f)(2) for f(x) = 10/x -1 and g(x) = 7x - 4?

A) 0
B) 4
C) 10
D) 24

Answer 1

The answer is D I hope this help

Answer 2

The value of function (g o f) (2) is 24 . option D

Explanation:

Given function as :

f(x) =
`(10)/(x)` - 1

And g(x) = 7 x - 4

So ,

(g o f) (x) = 7 (
`(10)/(x)` - 1 ) - 4

Or, (g o f) (x) =
`(70)/(x)` - 7 - 4

Or, (g o f) (x) =
`(70)/(x)` - 11

So, For x = 2

I,e (g o f) (2) =
`(70)/(2)` - 11

Or, (g o f) (2) = 35 - 11

∴ (g o f) (2) = 24

Hence The value of function (g o f) (2) is 24 . Answer ( option D )