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marishachu [46]
3 years ago
7

Find the inverse of h(x)=(2x-4)/3

Mathematics
2 answers:
Agata [3.3K]3 years ago
5 0

Answer:

The inverse of the h(x) is h^{-1}(x)=\frac{3x}{2}+2           Step-by-step explanation:

Given : Expression h(x)=\frac{2x-4}{3}

To find : The inverse of the expression ?

Solution :

Expression h(x)=\frac{2x-4}{3}

Let, h(x)=y then  y=\frac{2x-4}{3}

For inverse we replace the value of x and y and find the value of y in terms of x.

Replace the value of x and y,

x=\frac{2y-4}{3}

Solve for y by cross multiply,

3x=2y-4

Adding 4 both side,

3x+4=2y

Dividing by 2 both side,

\frac{3x+4}{2}=y

Therefore, The inverse of the h(x) is h^{-1}(x)=\frac{3x}{2}+2

aev [14]3 years ago
4 0

Answer:

H^-1 (x)= 3x+4/2

Step-by-step explanation:

Took the test

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