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3 years ago

Can someone help me with this please

Mathematics

1 answer:

Arisa [49]3 years ago

6 0

I’ve attached my work...
Hope it helps!
Math-way app for problems like number 2
Have a nice day:)

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Find f(g(x)) and g(f(x)) 1. F(x) = X²-3x+1 g(x)=5x-7

Mariana [72]

We are given the following functions

$\begin{gathered} f(x)=x^2-3x+1 \\ g(x)=5x-7 \end{gathered}$

Let us first find f(g(x)

Substitute x = 5x - 1 into the function f(x) and simplify

$\begin{gathered} f(g(x))=(5x-7)^2-3(5x-7)+1 \\ f(g(x))=(25x^2-2\cdot5x\cdot7+49)^{}-15x+21+1 \\ f(g(x))=25x^2-70x+49^{}-15x+22 \\ f(g(x))=25x^2-70x-15x+49+22 \\ f(g(x))=25x^2-85x+71 \end{gathered}$

Now let us find g(f(x))

Substitute x = x² - 3x + 1 into the function g(x) and simplify

$\begin{gathered} g(f(x))=5(x^2-3x+1)-7 \\ g(f(x))=5x^2-15x+5-7 \\ g(f(x))=5x^2-15x-2 \end{gathered}$

Therefore, f(g(x) and g(f(x)) are

$\begin{gathered} f(g(x))=25x^2-85x+71 \\ g(f(x))=5x^2-15x-2 \end{gathered}$

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1 year ago

Find the value of x in each case. Give reasons to justify your solutions<br> Q ∈ PR

slavikrds [6]

The exterior angle theorem states that an exterior angle is equal to the sum of its remote interior angles.

With that we know...

m<QRS+m<RSQ=m<SQP

90+34=x+72

124=x+72

x=52 degrees

answer: 52 degrees

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3 years ago

What number balances this equation? 24+(3+6) = (24+3)+_

kolezko [41]

I think it’s 6. I feel like 6 would be the the correct answer

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3 years ago

Read 2 more answers

I WILL GIVE BRAINLIEST TO WHOEVER ANSWERS FIRST!!

LUCKY_DIMON [66]

Answer:

one solution

Step-by-step explanation:

intersecting lines always have one solution.

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3 years ago

HOW DO YOU SOLVE THIS PLZ EXPLAIN

Wewaii [24]

B i hope that is right

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4 years ago