<img src="https://tex.z-dn.net/?f=x%20-%206%3D%20-55" id="TexFormula1" title="x - 6= -55" alt="x

I maybe wrong, but I think it is 14

Simplify both sides of the equation
(Do distributive property)
Add 6v to both sides
Subtract 67 from both sides
Divide both sides by -1

7 0

2 years ago

What is the inverse of the function h(x)=\dfrac{5}{2}x+4h(x)= 2 5 x+4h, left parenthesis, x, right parenthesis, equals, start

Phantasy [73]

Answer:

The inverse of the function h(x) is $h^{-1}(x)=\frac{2}{5}x-\frac{8}{5}$ .

Step-by-step explanation:

The given function is

$h(x)=\dfrac{5}{2}x+4$

Replace h(x) by y.

$y=\dfrac{5}{2}x+4$

Interchange x and y.

$x=\dfrac{5}{2}y+4$

Subtract 4 from both sides to isolate variable y,

$x-4=\dfrac{5}{2}y$

Multiply both sides by 2.

$2x-8=5y$

Divide both sides by 5.

$\frac{2}{5}x-\frac{8}{5}=y$

Replace y by h⁻¹(x).

$h^{-1}(x)=\frac{2}{5}x-\frac{8}{5}$

Therefore the inverse of the function h(x) is $h^{-1}(x)=\frac{2}{5}x-\frac{8}{5}$ .

6 0

2 years ago

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