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3 years ago

If f(x) = 5x - 1, then f^-1(x)=

Mathematics

2 answers:

lesantik [10]3 years ago

7 0

F(-1)=5(-1)-1
-5-1
-6
Your answer is-6

Airida [17]3 years ago

3 0

Answer:

$f^{-1}$ (x) = $\frac{x+1}{5}$

Step-by-step explanation:

let y = f(x) and rearrange making x the subject , that is

y = 5x - 1 ( add 1 to both sides )

y + 1 = 5x ( divide both sides by 5 )

$\frac{y+1}{5}$ = x

Change y back into terms of x , with x = $f^{-1}$ (x) , then

$f^{-1}$ (x) = $\frac{x+1}{5}$

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3 years ago

If BTS=GHD BS=25 TS=14 BT=31 GD=4x-11 S=56 B=21 and H=(7y+5) find the values of x and y

77julia77 [94]

Given:

Consider the completer question is "If ∆BTS≅∆GHD, BS=25, TS=14, BT=31, GD=4x-11, m∠S=56, m∠B=21 and m∠H=(7y+5), find the values of x and y.

To find:

The values of x and y.

Solution:

We have,

$\Delta BTS\cong \Delta GHD$ (Given)

$BS=GD$ (CPCTC)

$25=4x-11$

$25+11=4x$

$36=4x$

Divide both sides by 4.

$9=x$

In ∆BTS,

$\angle B+\angle T+\angle S=180^\circ$ (Angle sum property)

$21^\circ+\angle T+56^\circ=180^\circ$

$77^\circ+\angle T=180^\circ$

$\angle T=180^\circ-77^\circ$

$\angle T=103^\circ$

Now,

$\angle T=\angle H$ (CPCTC)

$103=7y+5$

$103-5=7y$

$98=7y$

Divide both sides by 7.

$14=y$

Therefore, the value of x is 9 and value of y is 14.

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