Question

For all values of x f(x) =x^2 g(x)=x+3
A) Find fg(5)
B) Find gf(5)

Answer 1

SOLUTION

GIVEN

For all values of x , f(x) = x², g(x) = x + 3

TO DETERMINE

A) Find fg(5)

B) Find gf(5)

EVALUATION

Here it is given that for all values of x ,

f(x) = x², g(x) = x + 3

Now

f(5) = 5² = 25

g(5) = 5 + 3 = 8

Thus we get

fg(5)

= f(g(5))

= f(8)

= 8²

= 64

Again

gf(5)

= g(f(5))

= g(25)

= 25 + 3

= 28

━━━━━━━━━━━━━━━━

Learn more from Brainly :-

$1.$ If x=√3a+2b + √3a-2b / √3a+2b - √3a-2b

prove that bx²-3ax+b=0

https://brainly.in/question/19664646

2. the order of the surd 7√8

https://brainly.in/question/31962770

Answer 2

Given Data :

For all values of x ,

f(x) = x²

g(x) = x + 3

To Find :

• Find fg(5)
• Find gf(5)

Solution :

Here it is given that for all values of x ,

f(x) = x²

and,

g(x) = x + 3

Now finding values by substituting x = 5

• f(5) = 5² = 25
• g(5) = 5 + 3 = 8

we get,

⇒ fg(5)

⇒ f(g(5))

⇒ f(8)

⇒ 8²

⇒ 64

then,

⇒ gf(5)

⇒ g(f(5))

⇒ g(25)

⇒ 25 + 3

⇒ 28