Question

Evaluate the expression f(g(-3)) using the given functions.

a. 3
b. -7
c. 5
d. -5

Determine the value of f(h(7)) using the provided functions.
a. 57
b. 51
c. 50
d. 49

Answer 1

`\(f(g(-3))\)` is equal to c.
`\(23\)`.
`\( f(h(7)) \)` is equal to d.
`\( 442 \)`.

To evaluate the expression
`\(f(g(-3))\)`, you first need to find the value of
`\(g(-3)\)` and then substitute that value into the function
`\(f(x)\)`.

Given that
`\(g(x) = x^2 + 3\)`, let's find
`\(g(-3)\)`:

`\[g(-3) = (-3)^2 + 3 = 9 + 3 = 12\]`

Now that we have the value of
`\(g(-3)\)`, substitute it into the function
`\(f(x) = 2x - 1\)`:

`\[f(g(-3)) = f(12) = 2 * 12 - 1 = 24 - 1 = 23\]`

Therefore,
`\(f(g(-3))\)` is equal to
`\(23\)`.

To find the value of
`\( f(h(7)) \)`, you need to first find
`\( h(7) \)` and then substitute that value into the function
`\( f(x) \)`.

Given that
`\( h(x) = 2x + 1 \)`, let's find
`\( h(7) \)`:

`\[ h(7) = 2 * 7 + 1 = 14 + 1 = 15 \]`

Now that we have the value of
`\( h(7) \)`, substitute it into the function
`\( f(x) = 2x^2 - 8 \)`:

`\[ f(h(7)) = f(15) = 2 * 15^2 - 8 = 2 * 225 - 8 = 450 - 8 = 442 \]`

Therefore,
`\( f(h(7)) \)` is equal to
`\( 442 \)`.

The probable question may be: "Evaluate the expression f(g(-3)) using the given functions. f(x)=2x-1; g(x)=
`x^2`+3
a. 33
b. -77
c. 23
d. -28

Determine the value of f(h(7)) using the provided functions. f(x)=
`2x^2`-8; h(x)=2x+1

a. 577

b. 299
c. 450
d. 442"