Question

given that g(x)=x+7andh(x)=2x-10 find gh(x)

Answer 1

Step-by-step explanation:

Let y=

x−1

x+2

also, y=10−3x

∴10−3x=

x−1

x+2

(10−3x)(x−1)=x+2

10x−10−3x

2

+3x=x+2

3x

2

−12x+12=0

x

2

−4x+4=0

Discriminate = 4

2

−4(4)

=0

∴ the given curve intersects g(x) at only one point

∴3x+y−10=0 is tangent to g(x)

Hope its help..

Answer 2

Step-by-step explanation:

Let y=

x−1

x+2

also, y=10−3x

∴10−3x=

x−1

x+2

(10−3x)(x−1)=x+2

10x−10−3x

2

+3x=x+2

3x

2

−12x+12=0

x

2

−4x+4=0

Discriminate = 4

2

−4(4)

=0

∴ the given curve intersects g(x) at only one point

∴3x+y−10=0 is tangent to g(x)

Hope its help..